30^2=x^2+14

Solution for 30^2=x^2+14 equation:

30^2=x^2+14

We move all terms to the left:

30^2-(x^2+14)=0

We add all the numbers together, and all the variables

-(x^2+14)+900=0

We get rid of parentheses

-x^2-14+900=0

We add all the numbers together, and all the variables

-1x^2+886=0

a = -1; b = 0; c = +886;
Δ = b2-4ac
Δ = 02-4·(-1)·886
Δ = 3544
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:

$\sqrt{\Delta}=\sqrt{3544}=\sqrt{4*886}=\sqrt{4}*\sqrt{886}=2\sqrt{886}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{886}}{2*-1}=\frac{0-2\sqrt{886}}{-2}
=-\frac{2\sqrt{886}}{-2}
=-\frac{\sqrt{886}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{886}}{2*-1}=\frac{0+2\sqrt{886}}{-2}
=\frac{2\sqrt{886}}{-2}
=\frac{\sqrt{886}}{-1}
$