1.80=(x^2)/0.06-x

Solution for 1.80=(x^2)/0.06-x equation:

1.80=(x^2)/0.06-x

We move all terms to the left:

1.80-((x^2)/0.06-x)=0


Domain of the equation: 0.06-x)!=0

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

-x)!=-0.06

x!=-0.06/1

x!=-0.06

x∈R


We add all the numbers together, and all the variables

-(x^2/0.06-x)+1.8=0

We get rid of parentheses

-x^2/0.06+x+1.8=0

We multiply all the terms by the denominator


-x^2+x*0.06+(1.8)*0.06=0

We add all the numbers together, and all the variables

-1x^2+x*0.06+0.108=0

Wy multiply elements

-1x^2+0.06x+0.108=0

a = -1; b = 0.06; c = +0.108;
Δ = b2-4ac
Δ = 0.062-4·(-1)·0.108
Δ = 0.4356
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{-(0.06)-\sqrt{0.4356}}{2*-1}=\frac{-0.06-\sqrt{0.4356}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.06)+\sqrt{0.4356}}{2*-1}=\frac{-0.06+\sqrt{0.4356}}{-2}
$