m^2=64/25

Solution for m^2=64/25 equation:

m^2=64/25

We move all terms to the left:

m^2-(64/25)=0

We add all the numbers together, and all the variables

m^2-(+64/25)=0

We get rid of parentheses

m^2-64/25=0

We multiply all the terms by the denominator


m^2*25-64=0

Wy multiply elements

25m^2-64=0

a = 25; b = 0; c = -64;
Δ = b2-4ac
Δ = 02-4·25·(-64)
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80}{2*25}=\frac{-80}{50}
=-1+3/5
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80}{2*25}=\frac{80}{50}
=1+3/5
$