How do you solve the quadratic 9x^2+8=-35 using any method?

Aug 21, 2016

$x = \pm \frac{\sqrt{43}}{3} i$

Explanation:

$9 {x}^{2} + 8 = - 35$

$9 {x}^{2} = - 43$

${x}^{2} = - \frac{43}{9}$

$x = \pm \sqrt{- \frac{43}{9}} = \pm \frac{\sqrt{43}}{\sqrt{9}} i$

$x = \pm \frac{\sqrt{43}}{3} i$