X²–5x+5=0

what is the solution of this equation?

x = 2.5 ± √1.25

which is

3.62, 1.38 to the nearest hundredth

Step-by-step explanation:

x^2 – 5x + 5 = 0

This won't factor so we use completing the square:

(x - 2.5)^2 - 6.25 + 5 = 0

(x - 2.5)^2 = -5 + 6.25 = 1.25

x - 2.5 = ±√1.25

x = 2.5 ± √1.25

step-by-step explanation:

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: