x2=81/144

Solution for x2=81/144 equation:

x2=81/144

We move all terms to the left:

x2-(81/144)=0

We add all the numbers together, and all the variables

x2-(+81/144)=0

We add all the numbers together, and all the variables

x^2-(+81/144)=0

We get rid of parentheses

x^2-81/144=0

We multiply all the terms by the denominator


x^2*144-81=0

Wy multiply elements

144x^2-81=0

a = 144; b = 0; c = -81;
Δ = b2-4ac
Δ = 02-4·144·(-81)
Δ = 46656
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{46656}=216$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-216}{2*144}=\frac{-216}{288}
=-3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+216}{2*144}=\frac{216}{288}
=3/4
$