X^2+4x-176=0

Solution for X^2+4x-176=0 equation:

X^2+4X-176=0

a = 1; b = 4; c = -176;
Δ = b2-4ac
Δ = 42-4·1·(-176)
Δ = 720
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:

$\sqrt{\Delta}=\sqrt{720}=\sqrt{144*5}=\sqrt{144}*\sqrt{5}=12\sqrt{5}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-12\sqrt{5}}{2*1}=\frac{-4-12\sqrt{5}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+12\sqrt{5}}{2*1}=\frac{-4+12\sqrt{5}}{2}
$