3x+14+8/x=0

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Solution for 3x+14+8/x=0 equation:



3x+14+8/x=0
Domain of the equation: x!=0
x∈R
We multiply all the terms by the denominator
3x*x+14*x+8=0
We add all the numbers together, and all the variables
14x+3x*x+8=0
Wy multiply elements
3x^2+14x+8=0
a = 3; b = 14; c = +8;
Δ = b2-4ac
Δ = 142-4·3·8
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-10}{2*3}=\frac{-24}{6} =-4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+10}{2*3}=\frac{-4}{6} =-2/3 $

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