y^2=49/121

Solution for y^2=49/121 equation:

y^2=49/121

We move all terms to the left:

y^2-(49/121)=0

We add all the numbers together, and all the variables

y^2-(+49/121)=0

We get rid of parentheses

y^2-49/121=0

We multiply all the terms by the denominator


y^2*121-49=0

Wy multiply elements

121y^2-49=0

a = 121; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·121·(-49)
Δ = 23716
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{23716}=154$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-154}{2*121}=\frac{-154}{242}
=-7/11
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+154}{2*121}=\frac{154}{242}
=7/11
$