4/25x^2=9

Solution for 4/25x^2=9 equation:

4/25x^2=9

We move all terms to the left:

4/25x^2-(9)=0


Domain of the equation: 25x^2!=0

x^2!=0/25

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


-9*25x^2+4=0

Wy multiply elements

-225x^2+4=0

a = -225; b = 0; c = +4;
Δ = b2-4ac
Δ = 02-4·(-225)·4
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*-225}=\frac{-60}{-450}
=2/15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*-225}=\frac{60}{-450}
=-2/15
$