.17=x^2/4.88-x

Solution for .17=x^2/4.88-x equation:

.17=x^2/4.88-x

We move all terms to the left:

.17-(x^2/4.88-x)=0


Domain of the equation: 4.88-x)!=0

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

-x)!=-4.88

x!=-4.88/1

x!=-4.88

x∈R


We add all the numbers together, and all the variables

-(x^2/4.88-x)+0.17=0

We get rid of parentheses

-x^2/4.88+x+0.17=0

We multiply all the terms by the denominator


-x^2+x*4.88+(0.17)*4.88=0

We add all the numbers together, and all the variables

-1x^2+x*4.88+0.8296=0

Wy multiply elements

-1x^2+4.88x+0.8296=0

a = -1; b = 4.88; c = +0.8296;
Δ = b2-4ac
Δ = 4.882-4·(-1)·0.8296
Δ = 27.1328
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{-(4.88)-\sqrt{27.1328}}{2*-1}=\frac{-4.88-\sqrt{27.1328}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4.88)+\sqrt{27.1328}}{2*-1}=\frac{-4.88+\sqrt{27.1328}}{-2}
$