How do you solve using completing the square method x^2-7x+8=0?

1 Answer
Jul 12, 2017

Solution: x = 1/2(7+ sqrt17) or x = 1/2(7- sqrt17)

Explanation:

x^2-7x+8=0 or x^2-7x +(7/2)^2 -49/4+8=0 or

(x-7/2)^2 -17/4=0 or (x-7/2)^2 =17/4 or

(x-7/2) =+- sqrt (17/4) or x = 7/2+- sqrt (17/4) or

x = 7/2+- sqrt 17/2 or x = 1/2(7+- sqrt17)

Solution: x = 1/2(7+ sqrt17) or x = 1/2(7- sqrt17) [Ans]