X^2+60x-61=0

Solution for X^2+60x-61=0 equation:

X^2+60X-61=0

a = 1; b = 60; c = -61;
Δ = b2-4ac
Δ = 602-4·1·(-61)
Δ = 3844
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3844}=62$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-62}{2*1}=\frac{-122}{2}
=-61
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+62}{2*1}=\frac{2}{2}
=1
$