m^2=9/25

Solution for m^2=9/25 equation:

m^2=9/25

We move all terms to the left:

m^2-(9/25)=0

We add all the numbers together, and all the variables

m^2-(+9/25)=0

We get rid of parentheses

m^2-9/25=0

We multiply all the terms by the denominator


m^2*25-9=0

Wy multiply elements

25m^2-9=0

a = 25; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·25·(-9)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30}{2*25}=\frac{-30}{50}
=-3/5
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30}{2*25}=\frac{30}{50}
=3/5
$