Question

Find the value of k to complete the square for the quadratic equation
y=x^2-6x+k

Answer 1

The value of k is *9*

Answer 2

Explanation:

y = x² - 6x + k = (x + a)² = x² + 2ax + a², where a is a real constant.

By Comparing Coefficients, we have

2a = -6 and a² = k.

=> a = -6/2 = -3,

=> k = (-3)² = 9.

Hence the value of k must be 9.