10x+8/x+18=0

Solution for 10x+8/x+18=0 equation:

10x+8/x+18=0


Domain of the equation: x!=0

x∈R


We multiply all the terms by the denominator


10x*x+18*x+8=0

We add all the numbers together, and all the variables

18x+10x*x+8=0

Wy multiply elements

10x^2+18x+8=0

a = 10; b = 18; c = +8;
Δ = b2-4ac
Δ = 182-4·10·8
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-2}{2*10}=\frac{-20}{20}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+2}{2*10}=\frac{-16}{20}
=-4/5
$