x2+54x=1296

Solution for x2+54x=1296 equation:

x2+54x=1296

We move all terms to the left:

x2+54x-(1296)=0

We add all the numbers together, and all the variables

x^2+54x-1296=0

a = 1; b = 54; c = -1296;
Δ = b2-4ac
Δ = 542-4·1·(-1296)
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(54)-90}{2*1}=\frac{-144}{2}
=-72
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(54)+90}{2*1}=\frac{36}{2}
=18
$