Question

solve \\(x^2 - 16x + 60 = -12\\) by completing the steps.

first, subtract from each side of the equation.

Explanation:

⚡ Using what you learned: completing the square

Step 1: Identify the equation and the first step

The given quadratic equation is:

$$ x^2 - 16x + 60 = -12 $$

To solve by completing the square, we first isolate the variable terms on one side. This means we need to move the constant term \( 60 \) from the left side to the right side.

Step 2: Determine the value to subtract

To move \( 60 \) to the other side, we subtract \( 60 \) from both sides of the equation:

$$ x^2 - 16x = -12 - 60 $$

$$ x^2 - 16x = -72 $$

Therefore, the number that must be subtracted from each side of the equation is \( 60 \).

Answer:

60