9/25m^2-121=0

Solution for 9/25m^2-121=0 equation:

9/25m^2-121=0


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

m^2!=0/25

m^2!=√0

m!=0

m∈R


We multiply all the terms by the denominator


-121*25m^2+9=0

Wy multiply elements

-3025m^2+9=0

a = -3025; b = 0; c = +9;
Δ = b2-4ac
Δ = 02-4·(-3025)·9
Δ = 108900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{108900}=330$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-330}{2*-3025}=\frac{-330}{-6050}
=3/55
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+330}{2*-3025}=\frac{330}{-6050}
=-3/55
$