8x^2-34x-1008=0

Solution for 8x^2-34x-1008=0 equation:

8x^2-34x-1008=0

a = 8; b = -34; c = -1008;
Δ = b2-4ac
Δ = -342-4·8·(-1008)
Δ = 33412
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:

$\sqrt{\Delta}=\sqrt{33412}=\sqrt{4*8353}=\sqrt{4}*\sqrt{8353}=2\sqrt{8353}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-34)-2\sqrt{8353}}{2*8}=\frac{34-2\sqrt{8353}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34)+2\sqrt{8353}}{2*8}=\frac{34+2\sqrt{8353}}{16}
$