The equation (x+56)1/2^=x has an extraneous solution.
True or false

Answers

Answer 1

9514 1404 393

Answer:

  True

Step-by-step explanation:

We assume your equation is intended to be ...

  [tex]\sqrt{x+56} =x[/tex]

The usual method of solution squares both sides, then solves the resulting quadratic.

  [tex]x+56=x^2\\\\x^2-x-56=0\\\\(x-8)(x+7)=0\longrightarrow x=\{-7,+8\}[/tex]

Considering the initial problem, we require x ≥ 0, so the x=-7 solution is extraneous.

__

A graphical solution shows there is only one value of x that satisfies the equation. The other "solution" arises from considering the negative square root. It is introduced when the equation is squared.

The Equation (x+56)1/2^=x Has An Extraneous Solution. True Or False

Related Questions

The center is (3,-2), and a point in the circle is (23, 19)

Answers

Answer:

Circumference is about 182.21

Step-by-step explanation:

Use the distance formula to find the radius of the circle with the two coordinates given. The radius of this circle is 29. Plug 29 into the formula 2(pi)r to find the Circumference. The answer is 182.21

The equation of the circle is [tex]\rm(x-3)^2+(y+2)^2=29^2[/tex].

What is the equation of circle?

The equation of the circle is given by;

[tex]\rm (x-h)^2+(y-k)^2=r^2[/tex]

Where r is the radius and h and k are the centre of the circel.

The radius of the circle is;

[tex]r=\sqrt{(23-3)^2+(19-(-2))^2} \\\\r=\sqrt{(20)^2+(21)^2} \\\\r=\sqrt{400+441}\\\\r =\sqrt{841}\\\\r=29[/tex]

The equation of the circle is;

[tex]\rm (x-h)^2+(y-k)^2=r^2\\\\\rm (x-3)^2+(y-(-2))^2=29^2\\\\ (x-3)^2+(y+2)^2=29^2[/tex]

Hence, the equation of the circle is [tex]\rm(x-3)^2+(y+2)^2=29^2[/tex].

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#SPJ2

What should you do first when you simplify the expression below? (5+4)x3

Answers

Answer:

5 + 4 snice it's inside the circle and when you get your answer you times it with 3

Step-by-step explanation:

( 5 + 4 ) x 3

  9 x 3

27

(5+4) x 3 = 27

A bag contains x counters. 7 of the counters are blue. Sam takes at random a counter from the bag and does not replace it. Jill then takes a counter from the bag. The probability they both take a blue counter is 0.2. Form an equation involving x, in the form x + bx +c=0.

Answers

Answer:

0.2x² - 0.2x - 42 = 0

Step-by-step explanation:

Number of counters = x

Number of blue counters =7

Probability, p = required outcome / Total possible outcomes

P(Sam picks blue ) : = 7/x

P(jill picks blue) = 6/(x - 1)

P(Sam picks blue) * P(Jill picks blue) = 0.2

7/x * 6/(x-1) = 0.2

42/x(x - 1) = 0.2

42 / x² - x= 0.2

42 = 0.2(x² - x)

42 = 0.2x² - 0.2x

0.2x² - 0.2x - 42

Use Polynomials to Find Perimeter & Area
Find the area of this rectangle.

Answers

Answer:

Area of rectangle =

[tex]l \times b[/tex]

= 5x *( 5x -4)

=

[tex] {25x}^{2} - 20x[/tex]

Perimeter of rectangle = 2(l + b)

=2(5x +5x -4)

= 2(10x - 4)

= 20x - 8

HELP PLEASE I NEED HELP !

Answers

Answer:

G

Step-by-step explanation:

out of a total of 280 spinners as the overall.

3/40 were defective

280 * 3/40 = 21

Answer:

G

Step-by-step explanation:

For every 40 spinners 3 are defective

Divide amount made by 40 for numbers of groups of 40

280 ÷ 40 = 7 , then

7 × 3 = 21 ← likely defective spinners → G

Always in the game and never played by the rules (rules)
Tried to let me leave (leave), fell down to my knees (knees)
Picked myself up and turned my back to the breeze, oh-oh
Spent a milli' on a milli', mama look at me (oh)
With all these diamond chokers, man, it's gettin' hard to breathe

Answers

If you made this Very good job. I like it, and its hard to make a song i like. i like about 60 songs total out of the 10000+ ik of

What is the surface area of this right rectangular prism with dimensions of 8 inches by 4 inches by 14 inches?

a. 310

b. 400

c. 525

d. 650

Answers

Answer:

400

Step-by-step explanation:

The area of sides and add then up

sorry if it’s too blurry but i need help with this

Answers

B.
You multiply the bases, then add the exponents.
7x7 = 49
-8 + (-3) = -11
49 ^-11

Which equation is equivalent to 29p + 32?
A 32 - 29p
B 32 + 29p
C 32p + 29
D 32(29-p)

Answers

The correct answer is B.

Find the value of x.

Answers

hello i know its wrong but lol. i tried to help.

Find the value of x. 2 3 6

Answers

the answer is 7 you’re very welcome

a chocolate company selects 800 random packages to check their weight. It finds that 12 packages have an incorrect weight. How many packages out of 4000 should the company predict to have the incorrect weight.

Answers

Answer:

1.5% of 4000 or 60

Step-by-step explanation:

I need help with surface area

Answers

Answer:

Surface Area varies by object/shape.

Ask your teacher/learning helper for those formulas of surface area

Step-by-step explanation:

Surface area is the sum of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Jackson has a table with a square top and he wants to buy a circular piece of lace
that will cover the entire top of the table. The top of the table has side lengths of 12
inches, as shown.
12 in
12 in
What is the area, in square inches, of the smallest circular piece of lace Jackson could​

Answers

Answer:

144

Step-by-step explanation:

the area is 144 im prob wrong

Plz help with these.

Answers

Answer:

5. [tex]a ( x + y^{2} + z )[/tex]

6. [tex]2a ( x + y + z)[/tex]

7. [tex]4 ( x +4y)[/tex]

8. [tex]-5 ( x + y )[/tex]

9. [tex]7a ( a + b)[/tex]

10. [tex]-2 ( x + 2y + 3z)[/tex]

11. [tex]bx ( a + y)[/tex]

12. [tex]-x (x^{2} + x + 1)[/tex]

this took long but i hope the answers are correct :)

Find the perimeter of 13.2 yd, 6.2 yd, 11yd

Answers

Answer: 900.24

Step-by-step explanation:

Perimeter=L•W•H

Need to help to find the slope pls helppp

Answers

Answer:

Step-by-step explanation:

easy

Answer:

it is 2

Step-by-step explanation:

rise over run

it goes up 2 points and

moves right 1 point

2/1 =2

ill put this up for 50 just please someone help me.

Answers

Answer:

1) Let the dimensions be x for greater size and 1 for unit size

Product is:

x² + 3x + 2x + 6 = x² + 5x + 6

Factors are:

(x + 3) and (x + 2)

2)

Product is:

2x² + 3x + 2x + 3 = 2x² + 5x + 3

Factors are:

(2x + 3) and (x + 1)

Which expression can be used to calculate the area of a circle?
Pi times diameter
2 times pi times radius
Pi times diameter times diameter
Pi times radius times radius


help plz

Answers

Area of a circle = pi x radius(squared)

An isosceles triangle has a base of 20cm and legs measuring 36cm. How long are the legs of a similar triangle with a base measuring 50cm?

Answers

Answer:

90 cm

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, then

50 ÷ 20 = 2.5

The legs of the similar triangle are 2.5 times the original legs, that is

legs of similar triangle = 2.5 × 36 cm = 90 cm

13. What is the quadratic function that has a graph that contains the points
{(-1,8), (0,5),(1,0))?
A g(x) = -x2 - 4x + 5
B g(x) = -x2 +5
C g(x) = -x2 + 7x + 5
D g(x) = -x2 + 4x + 5

Answers

Answer: D, i am a hight school teacher names miss smell my butt, and i know that i am right

Can someone please help me on this

Answers

Answer:

the 1 one

Step-by-step explanation:

Answer:

113.4=x(18)

x=6.3

Step-by-step explanation:

It says the product of a number, x, and 18 is 113.4. Since it says product there will be multiplication. The word "is" tells us that x and 18 equals 113.4. Is x= 6.3, 6.3 times 18 equals 113.4. This is a true equation.

Can someone help me please

Answers

the answer to that is c . t=6*x

Solve 12/y = 4/3
Solution is____

Answers

Answer:

y=9

Step-by-step explanation:

12/y=4/3

3×12/y=3×4/3

36/y=4

y×36/y= 4×y

36=4y

36/4=4y/4

9=y

I’m going to guess16

Which statement is true?
A. A number subtracted from itself is a natural number.
B. All rational numbers are integers.
C. All irrational numbers are real numbers. W
D. Every whole number is a natural number.​

Answers

A number system is a system for the presentation of numbers into groups or categories

The true statement is the option;

C. All irrational numbers are real numbers

Reason:

The number system is composed of two types of numbers, which are;

Real numbers Imaginary numbers

Imaginary Numbers;

The imaginary numbers are the numbers that have the value √(-1), within them

Real Numbers:

There are two types of real numbers which are;

Rational numbers; Numbers that can be written in the form [tex]\dfrac{a}{b}[/tex], where a, and b, are integers

Irrational numbers; Numbers that cannot be expressed in the form [tex]\dfrac{a}{b}[/tex], such as π, √2, e

Therefore;

All irrational numbers are real numbers

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What solid figure is shown below?

Answers

Answer:

rectangular prisim

Step-by-step explanation:

Answer:

rectangular prism

Step-by-step explanation:

rectangle shaped box

Help me please
HELP ME PLEASEE​

Answers

Answer:

21?i think

Step-by-step explanation:

hey besties i need sum help with this pls

Answers

The correct answer is A

PLZZZ HELPPP BRAINLIESTT

Answers

Answer:

1. 4 less than x

2. v = 15.00n

Answer:

4 minus x and v = 15.00n

Step-by-step explanation:

Find the number of subsets in the set (x l x is a day of the week)
a. 124
b. 256
c. 127
d. 128

Answers

C hope that helps have a good one
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