Question

How do you solve using the completing the square method `4x^2-8=-13x`?

Answer 1

x = - 13/8 +- 17.23/8

Explanation:

`4x^2 + 13x = 8`
Divide the equation by 4 -->
`(x^2 + (13x)/4) = 2`
`x^2 + (13x)/4 = 2`
`x^2 + (13x)/4 + 169/64 = 2 + 169/64`
`(x + 13/8)^2 = 2 + 169/64 = 297/64`
`(x + 13/8) = +- 17.23/8`

`x = - 13/8 +- 17.23/8`