x^2=121/144

Solution for x^2=121/144 equation:

x^2=121/144

We move all terms to the left:

x^2-(121/144)=0

We add all the numbers together, and all the variables

x^2-(+121/144)=0

We get rid of parentheses

x^2-121/144=0

We multiply all the terms by the denominator


x^2*144-121=0

Wy multiply elements

144x^2-121=0

a = 144; b = 0; c = -121;
Δ = b2-4ac
Δ = 02-4·144·(-121)
Δ = 69696
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{69696}=264$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-264}{2*144}=\frac{-264}{288}
=-11/12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+264}{2*144}=\frac{264}{288}
=11/12
$