Question

How do you solve `9x^2+342x+3230=0` by completing the square?

Answer 1

`x= - 19 pm sqrt(19)/3`

Explanation:

`9x^2+342x+3230=0`

`x^2+38x+3230/9=0`

`(x+19)^2 - 19^2+3230/9=0`
`= (x+19)^2 - 19/9=0`

`(x+19)^2 = 19/9`

`(x+19) = pm sqrt(19/9) = pm sqrt(19)/3`

`x= - 19 pm sqrt(19)/3`