(3x^2/4)=27

Solution for (3x^2/4)=27 equation:

(3x^2/4)=27

We move all terms to the left:

(3x^2/4)-(27)=0

We get rid of parentheses

3x^2/4-27=0

We multiply all the terms by the denominator


3x^2-27*4=0

We add all the numbers together, and all the variables

3x^2-108=0

a = 3; b = 0; c = -108;
Δ = b2-4ac
Δ = 02-4·3·(-108)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36}{2*3}=\frac{-36}{6}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36}{2*3}=\frac{36}{6}
=6
$