x2=961

Solution for x2=961 equation:

x2=961

We move all terms to the left:

x2-(961)=0

We add all the numbers together, and all the variables

x^2-961=0

a = 1; b = 0; c = -961;
Δ = b2-4ac
Δ = 02-4·1·(-961)
Δ = 3844
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3844}=62$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-62}{2*1}=\frac{-62}{2}
=-31
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+62}{2*1}=\frac{62}{2}
=31
$