4+5(x-11)3,x=8

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Solution for 4+5(x-11)3,x=8 equation:



4+5(x-11)3.x=8
We move all terms to the left:
4+5(x-11)3.x-(8)=0
We add all the numbers together, and all the variables
5(x-11)3.x-4=0
We multiply parentheses
15x^2-165x-4=0
a = 15; b = -165; c = -4;
Δ = b2-4ac
Δ = -1652-4·15·(-4)
Δ = 27465
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{-(-165)-\sqrt{27465}}{2*15}=\frac{165-\sqrt{27465}}{30} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-165)+\sqrt{27465}}{2*15}=\frac{165+\sqrt{27465}}{30} $

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