x+4(1/4)x=8

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Solution for x+4(1/4)x=8 equation: 



x+4(1/4)x=8

We move all terms to the left:

x+4(1/4)x-(8)=0



Domain of the equation: 4)x!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

x+4(+1/4)x-8=0

We multiply parentheses

4x^2+x-8=0

a = 4; b = 1; c = -8;
Δ = b2-4ac
Δ = 12-4·4·(-8)
Δ = 129
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{129}}{2*4}=\frac{-1-\sqrt{129}}{8}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{129}}{2*4}=\frac{-1+\sqrt{129}}{8}
$

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