x2+88x+75=0

Solution for x2+88x+75=0 equation:

x2+88x+75=0

We add all the numbers together, and all the variables

x^2+88x+75=0

a = 1; b = 88; c = +75;
Δ = b2-4ac
Δ = 882-4·1·75
Δ = 7444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{7444}=\sqrt{4*1861}=\sqrt{4}*\sqrt{1861}=2\sqrt{1861}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(88)-2\sqrt{1861}}{2*1}=\frac{-88-2\sqrt{1861}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(88)+2\sqrt{1861}}{2*1}=\frac{-88+2\sqrt{1861}}{2}
$