1/25=m^2

Solution for 1/25=m^2 equation:

1/25=m^2

We move all terms to the left:

1/25-(m^2)=0

We add all the numbers together, and all the variables

-1m^2+1/25=0

We multiply all the terms by the denominator


-1m^2*25+1=0

Wy multiply elements

-25m^2+1=0

a = -25; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-25)·1
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10}{2*-25}=\frac{-10}{-50}
=1/5
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10}{2*-25}=\frac{10}{-50}
=-1/5
$