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

by definition, an arc subtended by a central angle of some given measure has the same measure. so .