x2+12-7051=0

Solution for x2+12-7051=0 equation:

x2+12-7051=0

We add all the numbers together, and all the variables

x^2-7039=0

a = 1; b = 0; c = -7039;
Δ = b2-4ac
Δ = 02-4·1·(-7039)
Δ = 28156
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:

$\sqrt{\Delta}=\sqrt{28156}=\sqrt{4*7039}=\sqrt{4}*\sqrt{7039}=2\sqrt{7039}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{7039}}{2*1}=\frac{0-2\sqrt{7039}}{2}
=-\frac{2\sqrt{7039}}{2}
=-\sqrt{7039}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{7039}}{2*1}=\frac{0+2\sqrt{7039}}{2}
=\frac{2\sqrt{7039}}{2}
=\sqrt{7039}
$