8x^2-6x-275=0

Solution for 8x^2-6x-275=0 equation:

8x^2-6x-275=0

a = 8; b = -6; c = -275;
Δ = b2-4ac
Δ = -62-4·8·(-275)
Δ = 8836
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8836}=94$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-94}{2*8}=\frac{-88}{16}
=-5+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+94}{2*8}=\frac{100}{16}
=6+1/4
$