x^2+19x=88=0

Solution for x^2+19x=88=0 equation:

x^2+19x=88=0

We move all terms to the left:

x^2+19x-(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:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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