5a^2-37a-72=0

Solution for 5a^2-37a-72=0 equation:

5a^2-37a-72=0

a = 5; b = -37; c = -72;
Δ = b2-4ac
Δ = -372-4·5·(-72)
Δ = 2809
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2809}=53$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-53}{2*5}=\frac{-16}{10}
=-1+3/5
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+53}{2*5}=\frac{90}{10}
=9
$