x^2+54x-55=0

Solution for x^2+54x-55=0 equation:

x^2+54x-55=0

a = 1; b = 54; c = -55;
Δ = b2-4ac
Δ = 542-4·1·(-55)
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(54)-56}{2*1}=\frac{-110}{2}
=-55
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(54)+56}{2*1}=\frac{2}{2}
=1
$