8x^2-150x-670=0

Solution for 8x^2-150x-670=0 equation:

8x^2-150x-670=0

a = 8; b = -150; c = -670;
Δ = b2-4ac
Δ = -1502-4·8·(-670)
Δ = 43940
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{43940}=\sqrt{676*65}=\sqrt{676}*\sqrt{65}=26\sqrt{65}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-150)-26\sqrt{65}}{2*8}=\frac{150-26\sqrt{65}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-150)+26\sqrt{65}}{2*8}=\frac{150+26\sqrt{65}}{16}
$