Question

Which equation is equivalent to the given equation? x^2 - 10x = 14​

Answer 1

(x - 5)² = 39

Explanation:

Given

x² - 10x = 14

To obtain an equivalent equation use the method of completing the square.

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 5)x + 25 = 14 + 25

(x - 5)² = 39

Answer 2

I believe that the answer you are looking for is (x-5)²-39, if you use the completing the square method.

Solution:

x²-10x=14

Transferring 14 from the right side to the left side,

x²-10-14=0

Squaring the equation,

(x-5)²-39, or (x-5)²=39 (Depends on how you prefer to write it).

So, that is the final answer. I hope this helped. If you have any questions about the answer, please let me know. Enjoy your day and take care!