a2-19a-88=0

Solution for a2-19a-88=0 equation:

a2-19a-88=0

We add all the numbers together, and all the variables

a^2-19a-88=0

a = 1; b = -19; c = -88;
Δ = b2-4ac
Δ = -192-4·1·(-88)
Δ = 713
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-19)-\sqrt{713}}{2*1}=\frac{19-\sqrt{713}}{2}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19)+\sqrt{713}}{2*1}=\frac{19+\sqrt{713}}{2}
$