5.88*10^-6=x^2/0.07-x

Solution for 5.88*10^-6=x^2/0.07-x equation:

5.88*10^-6=x^2/0.07-x

We move all terms to the left:

5.88*10^-6-(x^2/0.07-x)=0


Domain of the equation: 0.07-x)!=0

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

-x)!=-0.07

x!=-0.07/1

x!=-0.07

x∈R


We add all the numbers together, and all the variables

-(x^2/0.07-x)=0

We get rid of parentheses

-x^2/0.07+x=0

We multiply all the terms by the denominator


-x^2+x*0.07=0

We add all the numbers together, and all the variables

-1x^2+x*0.07=0

Wy multiply elements

-1x^2+0.07x=0

a = -1; b = 0.07; c = 0;
Δ = b2-4ac
Δ = 0.072-4·(-1)·0
Δ = 0.0049
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{-(0.07)-\sqrt{0.0049}}{2*-1}=\frac{-0.07-\sqrt{0.0049}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.07)+\sqrt{0.0049}}{2*-1}=\frac{-0.07+\sqrt{0.0049}}{-2}
$