8x^2-159x+758=0

Solution for 8x^2-159x+758=0 equation:

8x^2-159x+758=0

a = 8; b = -159; c = +758;
Δ = b2-4ac
Δ = -1592-4·8·758
Δ = 1025
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:

$\sqrt{\Delta}=\sqrt{1025}=\sqrt{25*41}=\sqrt{25}*\sqrt{41}=5\sqrt{41}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-159)-5\sqrt{41}}{2*8}=\frac{159-5\sqrt{41}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-159)+5\sqrt{41}}{2*8}=\frac{159+5\sqrt{41}}{16}
$