What is the nature of the roots for y = x^2-10x+25 ? Explain your answer choice.

Answer 1

Evaluate and examine the discriminant.

D = b² - 4ac = (-10)² - 4(1)(25) = 100 - 100 = 0

D = 0 ⇒ 1 real root with a multiplicity of 2

In this case, you have a perfect square:

x² - 10x + 25 = (x - 5)²