2x^2/x+3=4.9

Solution for 2x^2/x+3=4.9 equation:

2x^2/x+3=4.9

We move all terms to the left:

2x^2/x+3-(4.9)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

2x^2/x-1.9=0

We multiply all the terms by the denominator


2x^2-(1.9)*x=0

We multiply parentheses

2x^2-1.9x=0

a = 2; b = -1.9; c = 0;
Δ = b2-4ac
Δ = -1.92-4·2·0
Δ = 3.61
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{-(-1.9)-\sqrt{3.61}}{2*2}=\frac{1.9-\sqrt{3.61}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.9)+\sqrt{3.61}}{2*2}=\frac{1.9+\sqrt{3.61}}{4}
$