a^2=25/121

Solution for a^2=25/121 equation:

a^2=25/121

We move all terms to the left:

a^2-(25/121)=0

We add all the numbers together, and all the variables

a^2-(+25/121)=0

We get rid of parentheses

a^2-25/121=0

We multiply all the terms by the denominator


a^2*121-25=0

Wy multiply elements

121a^2-25=0

a = 121; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·121·(-25)
Δ = 12100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12100}=110$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-110}{2*121}=\frac{-110}{242}
=-5/11
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+110}{2*121}=\frac{110}{242}
=5/11
$