Question

How do you solve using the completing the square method `5x^2 - 7x + 2 = 0`?

Answer 1

`x = (7 +- 3)/10`

Explanation:

`5x^2 - 7x = -2`. Divide both sides by 5
`x^2 - (7x)/5 = -2/5`
`x^2 - (7x)/5 + 49/100 = - 2/5 + 49/100`
`(x - 7/10)^2 = 9/100`
`(x - 7/10) = +- 3/10`
`x = 7/10 +- 3/10 = (7 +- 3)/10`