5x^2-37x-264=0

Solution for 5x^2-37x-264=0 equation:

5x^2-37x-264=0

a = 5; b = -37; c = -264;
Δ = b2-4ac
Δ = -372-4·5·(-264)
Δ = 6649
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-\sqrt{6649}}{2*5}=\frac{37-\sqrt{6649}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+\sqrt{6649}}{2*5}=\frac{37+\sqrt{6649}}{10}
$