x=0,35/x+4,3

Solution for x=0,35/x+4,3 equation:

x=0.35/x+4.3

We move all terms to the left:

x-(0.35/x+4.3)=0


Domain of the equation: x+4.3)!=0

x∈R


We get rid of parentheses

x-0.35/x-4.3=0

We multiply all the terms by the denominator


x*x-(4.3)*x-0.35=0

We multiply parentheses

x*x-4.3x-0.35=0

Wy multiply elements

x^2-4.3x-0.35=0

a = 1; b = -4.3; c = -0.35;
Δ = b2-4ac
Δ = -4.32-4·1·(-0.35)
Δ = 19.89
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{-(-4.3)-\sqrt{19.89}}{2*1}=\frac{4.3-\sqrt{19.89}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4.3)+\sqrt{19.89}}{2*1}=\frac{4.3+\sqrt{19.89}}{2}
$