100x^2-4/25=0

Solution for 100x^2-4/25=0 equation:

100x^2-4/25=0

We multiply all the terms by the denominator


100x^2*25-4=0

Wy multiply elements

2500x^2-4=0

a = 2500; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·2500·(-4)
Δ = 40000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40000}=200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200}{2*2500}=\frac{-200}{5000}
=-1/25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200}{2*2500}=\frac{200}{5000}
=1/25
$