8x^2-88x-146=0

Solution for 8x^2-88x-146=0 equation:

8x^2-88x-146=0

a = 8; b = -88; c = -146;
Δ = b2-4ac
Δ = -882-4·8·(-146)
Δ = 12416
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:

$\sqrt{\Delta}=\sqrt{12416}=\sqrt{64*194}=\sqrt{64}*\sqrt{194}=8\sqrt{194}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-88)-8\sqrt{194}}{2*8}=\frac{88-8\sqrt{194}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-88)+8\sqrt{194}}{2*8}=\frac{88+8\sqrt{194}}{16}
$