100=29.49*x^2

Solution for 100=29.49*x^2 equation:

100=29.49x^2

We move all terms to the left:

100-(29.49x^2)=0

We get rid of parentheses

-29.49x^2+100=0

a = -29.49; b = 0; c = +100;
Δ = b2-4ac
Δ = 02-4·(-29.49)·100
Δ = 11796
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:

$\sqrt{\Delta}=\sqrt{11796}=\sqrt{4*2949}=\sqrt{4}*\sqrt{2949}=2\sqrt{2949}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{2949}}{2*-29.49}=\frac{0-2\sqrt{2949}}{-58.98}
=-\frac{2\sqrt{2949}}{-58.98}
=-\frac{\sqrt{2949}}{-29.49}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{2949}}{2*-29.49}=\frac{0+2\sqrt{2949}}{-58.98}
=\frac{2\sqrt{2949}}{-58.98}
=\frac{\sqrt{2949}}{-29.49}
$