x^2+676=1156

Solution for x^2+676=1156 equation:

x^2+676=1156

We move all terms to the left:

x^2+676-(1156)=0

We add all the numbers together, and all the variables

x^2-480=0

a = 1; b = 0; c = -480;
Δ = b2-4ac
Δ = 02-4·1·(-480)
Δ = 1920
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:

$\sqrt{\Delta}=\sqrt{1920}=\sqrt{64*30}=\sqrt{64}*\sqrt{30}=8\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{30}}{2*1}=\frac{0-8\sqrt{30}}{2}
=-\frac{8\sqrt{30}}{2}
=-4\sqrt{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{30}}{2*1}=\frac{0+8\sqrt{30}}{2}
=\frac{8\sqrt{30}}{2}
=4\sqrt{30}
$