X2+60x-464=0

Solution for X2+60x-464=0 equation:

X2+60X-464=0

We add all the numbers together, and all the variables

X^2+60X-464=0

a = 1; b = 60; c = -464;
Δ = b2-4ac
Δ = 602-4·1·(-464)
Δ = 5456
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:

$\sqrt{\Delta}=\sqrt{5456}=\sqrt{16*341}=\sqrt{16}*\sqrt{341}=4\sqrt{341}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-4\sqrt{341}}{2*1}=\frac{-60-4\sqrt{341}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+4\sqrt{341}}{2*1}=\frac{-60+4\sqrt{341}}{2}
$