X^2+174x+7565=0

Solution for X^2+174x+7565=0 equation:

X^2+174X+7565=0

a = 1; b = 174; c = +7565;
Δ = b2-4ac
Δ = 1742-4·1·7565
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(174)-4}{2*1}=\frac{-178}{2}
=-89
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(174)+4}{2*1}=\frac{-170}{2}
=-85
$