4-99x^2-25x^2=0

Solution for 4-99x^2-25x^2=0 equation:

4-99x^2-25x^2=0

We add all the numbers together, and all the variables

-124x^2+4=0

a = -124; b = 0; c = +4;
Δ = b2-4ac
Δ = 02-4·(-124)·4
Δ = 1984
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:

$\sqrt{\Delta}=\sqrt{1984}=\sqrt{64*31}=\sqrt{64}*\sqrt{31}=8\sqrt{31}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{31}}{2*-124}=\frac{0-8\sqrt{31}}{-248}
=-\frac{8\sqrt{31}}{-248}
=-\frac{\sqrt{31}}{-31}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{31}}{2*-124}=\frac{0+8\sqrt{31}}{-248}
=\frac{8\sqrt{31}}{-248}
=\frac{\sqrt{31}}{-31}
$