88x^2-1170x+3770=0

Solution for 88x^2-1170x+3770=0 equation:

88x^2-1170x+3770=0

a = 88; b = -1170; c = +3770;
Δ = b2-4ac
Δ = -11702-4·88·3770
Δ = 41860
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:

$\sqrt{\Delta}=\sqrt{41860}=\sqrt{4*10465}=\sqrt{4}*\sqrt{10465}=2\sqrt{10465}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1170)-2\sqrt{10465}}{2*88}=\frac{1170-2\sqrt{10465}}{176}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1170)+2\sqrt{10465}}{2*88}=\frac{1170+2\sqrt{10465}}{176}
$