x^2=36/64

Solution for x^2=36/64 equation:

x^2=36/64

We move all terms to the left:

x^2-(36/64)=0

We add all the numbers together, and all the variables

x^2-(+36/64)=0

We get rid of parentheses

x^2-36/64=0

We multiply all the terms by the denominator


x^2*64-36=0

Wy multiply elements

64x^2-36=0

a = 64; b = 0; c = -36;
Δ = b2-4ac
Δ = 02-4·64·(-36)
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-96}{2*64}=\frac{-96}{128}
=-3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96}{2*64}=\frac{96}{128}
=3/4
$