x2=27/12

Solution for x2=27/12 equation:

x2=27/12

We move all terms to the left:

x2-(27/12)=0

We add all the numbers together, and all the variables

x2-(+27/12)=0

We add all the numbers together, and all the variables

x^2-(+27/12)=0

We get rid of parentheses

x^2-27/12=0

We multiply all the terms by the denominator


x^2*12-27=0

Wy multiply elements

12x^2-27=0

a = 12; b = 0; c = -27;
Δ = b2-4ac
Δ = 02-4·12·(-27)
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*12}=\frac{-36}{24}
=-1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36}{2*12}=\frac{36}{24}
=1+1/2
$