199656900=x^2/126

Solution for 199656900=x^2/126 equation:

199656900=x^2/126

We move all terms to the left:

199656900-(x^2/126)=0

We get rid of parentheses

-x^2/126+199656900=0

We multiply all the terms by the denominator


-x^2+199656900*126=0

We add all the numbers together, and all the variables

-1x^2+25156769400=0

a = -1; b = 0; c = +25156769400;
Δ = b2-4ac
Δ = 02-4·(-1)·25156769400
Δ = 100627077600
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:

$\sqrt{\Delta}=\sqrt{100627077600}=\sqrt{7187648400*14}=\sqrt{7187648400}*\sqrt{14}=84780\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84780\sqrt{14}}{2*-1}=\frac{0-84780\sqrt{14}}{-2}
=-\frac{84780\sqrt{14}}{-2}
=-\frac{42390\sqrt{14}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84780\sqrt{14}}{2*-1}=\frac{0+84780\sqrt{14}}{-2}
=\frac{84780\sqrt{14}}{-2}
=\frac{42390\sqrt{14}}{-1}
$