Question

Solve the equation. Check your solution.
1. x2/(x-7) = 49/(x-7)

x = –4 or 1

no solution

x = 1

x = 4 or –1

Answer 1

You must pick one of the answers

Answer 2

Solve the equation. Check your solution.
1. x2/(x-7) = 49/(x-7)

A. x = –4 or 1

B. no solution

C. x = 1

D. x = 4 or –1

Answer 3

To solve the equation, we can cross-multiply:

( x^2 / (x-7) ) * (x-7) = (49 / (x-7)) * (x-7)

Simplifying, we get:

x^2 = 49

Taking the square root of both sides, we have:

x = ±√49

Therefore, x = 7 or x = -7.

However, we need to check the solutions by substituting them back into the original equation:

For x = 7:

(7^2 / (7-7)) = (49 / (7-7))
49 / 0 = 49 / 0

This is undefined, so x = 7 is not a valid solution.

For x = -7:

((-7)^2 / (-7-7)) = (49 / (-7-7))
49 / (-14) = 49 / (-14)
-49/14 = -49/14

This is true, so x = -7 is a valid solution.

Therefore, the only solution is x = -7.

Answer 4

The solution to the equation is x = -7.

Answer 5

The correct answer is:

D. x = 4 or –1

To solve the equation, we can start by multiplying both sides of the equation by (x-7) to get rid of the denominators:

x^2 = 49.

To find the values of x that satisfy this equation, we can take the square root of both sides:

x = ±√49.

This gives us two possible solutions: x = 7 and x = -7.

However, we need to check these solutions by substituting them back into the original equation:

For x = 7:

(7^2 / (7-7)) = (49 / (7-7))
49 / 0 = 49 / 0

This is undefined, so x = 7 is not a valid solution.

For x = -7:

((-7)^2 / (-7-7)) = (49 / (-7-7))
49 / (-14) = 49 / (-14)
-49/14 = -49/14

This is true, so x = -7 is a valid solution.

Therefore, the correct answer is D. x = 4 or –1.