0,6x2/1,2=x

Solution for 0,6x2/1,2=x equation:

0.6x^2/1.2=x

We move all terms to the left:

0.6x^2/1.2-(x)=0

We add all the numbers together, and all the variables

0.6x^2/1.2-1x=0

We multiply all the terms by the denominator


0.6x^2-1x*1.2=0

Wy multiply elements

0.6x^2-1.2x=0

a = 0.6; b = -1.2; c = 0;
Δ = b2-4ac
Δ = -1.22-4·0.6·0
Δ = 1.44
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{-(-1.2)-\sqrt{1.44}}{2*0.6}=\frac{1.2-\sqrt{1.44}}{1.2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.2)+\sqrt{1.44}}{2*0.6}=\frac{1.2+\sqrt{1.44}}{1.2}
$