Final answer:
To complete the square for the equation x²-10x=-57, you need to add a constant term to both sides of the equation. The intermediate step is adding the square of half the coefficient of x to both sides of the equation.
Step-by-step explanation:
To complete the square for the equation x²-10x=-57, you would need to add a constant term to both sides of the equation. The intermediate step in completing the square would be adding the square of half the coefficient of x to both sides of the equation. In this case, the coefficient of x is -10, so you would add (-10/2)² to both sides:
x² - 10x + (-10/2)² = -57 + (-10/2)²
This simplifies to:
(x - 5)² = -57 + 25