(x2+8)/4=11

Solution for (x2+8)/4=11 equation:

(x2+8)/4=11

We move all terms to the left:

(x2+8)/4-(11)=0

We add all the numbers together, and all the variables

(+x^2+8)/4-11=0

We multiply all the terms by the denominator


(+x^2+8)-11*4=0

We add all the numbers together, and all the variables

(+x^2+8)-44=0

We get rid of parentheses

x^2+8-44=0

We add all the numbers together, and all the variables

x^2-36=0

a = 1; b = 0; c = -36;
Δ = b2-4ac
Δ = 02-4·1·(-36)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12}{2*1}=\frac{-12}{2}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12}{2*1}=\frac{12}{2}
=6
$