Find the x intercepts of y equals 5x2-5x plus 1?

Answer 1

y = 5x2 - 5x + 1 (replace y with 0 to find the x-intercepts)

0 = 5x2 - 5x + 1 (use the quadratic formula, x = [-b ± √(b - 4ac)]/2a)

x = [-(-5) ± √[(-5)2 - 4(5)(1)]]/2(5)

x = [5 ± √(25 - 20)]/10

x = (5 ± √5)/10

x ≈ (5 ± 2.25)/10

x ≈ (5 + 2.25)/10 or x ≈ (5 - 2.25)/10

x ≈ 7.25/10 = 0.725 or x ≈ 2.75/10 = 0.275

So the x-intercepts are approximately 0.275 and 0.725.