x^2+10x=1296

Solution for x^2+10x=1296 equation:

x^2+10x=1296

We move all terms to the left:

x^2+10x-(1296)=0

a = 1; b = 10; c = -1296;
Δ = b2-4ac
Δ = 102-4·1·(-1296)
Δ = 5284
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:

$\sqrt{\Delta}=\sqrt{5284}=\sqrt{4*1321}=\sqrt{4}*\sqrt{1321}=2\sqrt{1321}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-2\sqrt{1321}}{2*1}=\frac{-10-2\sqrt{1321}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+2\sqrt{1321}}{2*1}=\frac{-10+2\sqrt{1321}}{2}
$