How do you make x2-10x+k in perfect square

Answer 1

To make this quadratic a perfect square, you will need to find 'k' as a constant.

We can find k by taking the value of b from standard form and divide it by 2, then square it. Let b = -10. Then we have k = (b/2)² = (-10/2)² = (-5)² = 25.

The quadratic expression in perfect square trinomial is x² - 10x + 25 ⇒ (x - 5)(x - 5) = (x - 5)²