Question

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

Answer 1

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]