8x^2=81/8

Solution for 8x^2=81/8 equation:

8x^2=81/8

We move all terms to the left:

8x^2-(81/8)=0

We add all the numbers together, and all the variables

8x^2-(+81/8)=0

We get rid of parentheses

8x^2-81/8=0

We multiply all the terms by the denominator


8x^2*8-81=0

Wy multiply elements

64x^2-81=0

a = 64; b = 0; c = -81;
Δ = b2-4ac
Δ = 02-4·64·(-81)
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144}{2*64}=\frac{-144}{128}
=-1+1/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*64}=\frac{144}{128}
=1+1/8
$