4x2-13x-152=0

Solution for 4x2-13x-152=0 equation:

4x^2-13x-152=0

a = 4; b = -13; c = -152;
Δ = b2-4ac
Δ = -132-4·4·(-152)
Δ = 2601
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2601}=51$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-51}{2*4}=\frac{-38}{8}
=-4+3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+51}{2*4}=\frac{64}{8}
=8
$