0.17=x^2/0.6-x

Solution for 0.17=x^2/0.6-x equation:

0.17=x^2/0.6-x

We move all terms to the left:

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


Domain of the equation: 0.6-x)!=0

We move all terms containing x to the left, all other terms to the right

-x)!=-0.6

x!=-0.6/1

x!=-0.6

x∈R


We get rid of parentheses

-x^2/0.6+x+0.17=0

We multiply all the terms by the denominator


-x^2+x*0.6+(0.17)*0.6=0

We add all the numbers together, and all the variables

-1x^2+x*0.6+0.102=0

Wy multiply elements

-1x^2+0.6x+0.102=0

a = -1; b = 0.6; c = +0.102;
Δ = b2-4ac
Δ = 0.62-4·(-1)·0.102
Δ = 0.768
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{-(0.6)-\sqrt{0.768}}{2*-1}=\frac{-0.6-\sqrt{0.768}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.6)+\sqrt{0.768}}{2*-1}=\frac{-0.6+\sqrt{0.768}}{-2}
$