625/144x^2=625

Solution for 625/144x^2=625 equation:

625/144x^2=625

We move all terms to the left:

625/144x^2-(625)=0


Domain of the equation: 144x^2!=0

x^2!=0/144

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


-625*144x^2+625=0

Wy multiply elements

-90000x^2+625=0

a = -90000; b = 0; c = +625;
Δ = b2-4ac
Δ = 02-4·(-90000)·625
Δ = 225000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225000000}=15000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-15000}{2*-90000}=\frac{-15000}{-180000}
=1/12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+15000}{2*-90000}=\frac{15000}{-180000}
=-1/12
$