x2=1156

Solution for x2=1156 equation:

x2=1156

We move all terms to the left:

x2-(1156)=0

We add all the numbers together, and all the variables

x^2-1156=0

a = 1; b = 0; c = -1156;
Δ = b2-4ac
Δ = 02-4·1·(-1156)
Δ = 4624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4624}=68$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-68}{2*1}=\frac{-68}{2}
=-34
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+68}{2*1}=\frac{68}{2}
=34
$