-1/25x^2+9=0

Solution for -1/25x^2+9=0 equation:

-1/25x^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^2-1=0

Wy multiply elements

225x^2-1=0

a = 225; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·225·(-1)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30}{2*225}=\frac{-30}{450}
=-1/15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30}{2*225}=\frac{30}{450}
=1/15
$