# How do you solve the quadratic using the quadratic formula given 2t^2+15=6t^2-5t over the set of complex numbers?

Nov 5, 2016

$t = \frac{10 \pm \sqrt{265}}{8}$
There are no complex results because the graph passes through the x axis.

#### Explanation:

$2 {t}^{2} + 15 = 6 {t}^{2} - 5 t$
$15 = 4 {t}^{2} - 5 t$
$0 = 4 {t}^{2} - 5 t - 15$
$t = \frac{10 \pm \sqrt{25 - \left(4 \cdot 4 \cdot - 15\right)}}{2 \cdot 4}$
$t = \frac{10 \pm \sqrt{265}}{8}$