x2-64=1700

Solution for x2-64=1700 equation:

x2-64=1700

We move all terms to the left:

x2-64-(1700)=0

We add all the numbers together, and all the variables

x^2-1764=0

a = 1; b = 0; c = -1764;
Δ = b2-4ac
Δ = 02-4·1·(-1764)
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84}{2*1}=\frac{-84}{2}
=-42
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84}{2*1}=\frac{84}{2}
=42
$