Question

When using the method of completing the square, which equation is equivalent to x2 - 12x - 10 = 0?

A.(x+6)2=-26
B.(×+ 62 = 46
C.(x- 62=-26
D.(x-6)? = 46

Answer 1

The equation that is equivalent to x2 - 12x - 10 = 0 using the method of completing the square is:

(x - 6)² = 46

To complete the square, we need to add and subtract the square of half the coefficient of x from both sides of the equation:

x² - 12x - 10 = 0
x² - 12x = 10
x² - 12x + 36 = 10 + 36
(x - 6)² = 46

Therefore, the answer is (D) (x - 6)² = 46.


Hopefully this helps