Question

Let ​ x^2−12x=61 .​

Answer 1

Answer:

x²-12x+36=97

Step-by-step explanation:

Verified correct with K12 test.

Answer 2

The answer for the first blank is 36 and the answer for the second blank is 97.

To complete the square, we first take half of the value of b.  The value of b in this equation is -12; -12/2 = -6.

Next we square the value we just got: (-6)² = 36.

This is what we add to both sides of the equation, giving us:
x²-12x+36=61+36

Combining like terms on the right, we have
x²-12x+36=97