8x2-150x+670=0

Solution for 8x2-150x+670=0 equation:

8x^2-150x+670=0

a = 8; b = -150; c = +670;
Δ = b2-4ac
Δ = -1502-4·8·670
Δ = 1060
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:

$\sqrt{\Delta}=\sqrt{1060}=\sqrt{4*265}=\sqrt{4}*\sqrt{265}=2\sqrt{265}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-150)-2\sqrt{265}}{2*8}=\frac{150-2\sqrt{265}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-150)+2\sqrt{265}}{2*8}=\frac{150+2\sqrt{265}}{16}
$