5/9x^2=125

Solution for 5/9x^2=125 equation:

5/9x^2=125

We move all terms to the left:

5/9x^2-(125)=0


Domain of the equation: 9x^2!=0

x^2!=0/9

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


-125*9x^2+5=0

Wy multiply elements

-1125x^2+5=0

a = -1125; b = 0; c = +5;
Δ = b2-4ac
Δ = 02-4·(-1125)·5
Δ = 22500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{22500}=150$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-150}{2*-1125}=\frac{-150}{-2250}
=1/15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+150}{2*-1125}=\frac{150}{-2250}
=-1/15
$