g^2=36/25

Solution for g^2=36/25 equation:

g^2=36/25

We move all terms to the left:

g^2-(36/25)=0

We add all the numbers together, and all the variables

g^2-(+36/25)=0

We get rid of parentheses

g^2-36/25=0

We multiply all the terms by the denominator


g^2*25-36=0

Wy multiply elements

25g^2-36=0

a = 25; b = 0; c = -36;
Δ = b2-4ac
Δ = 02-4·25·(-36)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*25}=\frac{-60}{50}
=-1+1/5
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*25}=\frac{60}{50}
=1+1/5
$