X^2-6x=-1 If the quadratic equation has real solutions, what are the solutions? Explain. Estimate irrational solutions to the nearest tenth.

X^2 - 6x + 1 = 0

a=1

b = - 6

c = 1

Use the quadratic formula

x = [-b + - sq root (b^2 - 4ac) ] / 2a

x = [--6 + - sq root (36 - 4) ] / 2

x = [ 6 + - sq root (32) ] / 2

sq root (32) = 5.657

x1 = [ 6 + 5.657] / 2

x1 = 11.657 / 2

x1 = 5.8285

x1 = 5.82 (to nearest tenth)

x2 = [ 6 - 5.657] / 2

x2 =.343 / 2

x2 =.1715

x2 =.2 (to nearest tenth)