Question

use the technique of completing the square to transform the quadratic equation into the form (x + c)2 = a.

4x2 - 32x + 16 = 0

Answer 1

Steps to complete the square:
1. Divide everything by the coefficient of \(x^2\).
2. Transpose the constant to the other side.
3. Let's call the coefficient of \(x\) as \(b\). First, halve \(b\), then square the resulting number. Call this last one \(k\).
4. Add \(k\) to both sides.
5. The left-hand side should become a perfect square.
Show me your work as you follow these steps.