m^2=81/25

Solution for m^2=81/25 equation:

m^2=81/25

We move all terms to the left:

m^2-(81/25)=0

We add all the numbers together, and all the variables

m^2-(+81/25)=0

We get rid of parentheses

m^2-81/25=0

We multiply all the terms by the denominator


m^2*25-81=0

Wy multiply elements

25m^2-81=0

a = 25; b = 0; c = -81;
Δ = b2-4ac
Δ = 02-4·25·(-81)
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-90}{2*25}=\frac{-90}{50}
=-1+4/5
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+90}{2*25}=\frac{90}{50}
=1+4/5
$