X^2/0.60-x=1.8*10^-5

Solution for X^2/0.60-x=1.8*10^-5 equation:

X^2/0.60-X=1.8*10^-5

We move all terms to the left:

X^2/0.60-X-(1.8*10^-5)=0

We add all the numbers together, and all the variables

X^2/0.60-1X-5-1.8E=0

We multiply all the terms by the denominator


X^2-1X*0.60-5*0.60-(1.8E)*0.60=0

We add all the numbers together, and all the variables

X^2-1X*0.60-5*0.60-(4.8929072912263)*0.60=0

We add all the numbers together, and all the variables

X^2-1X*0.60-5.9357443747358=0

Wy multiply elements

X^2-0.6X-5.9357443747358=0

a = 1; b = -0.6; c = -5.9357443747358;
Δ = b2-4ac
Δ = -0.62-4·1·(-5.9357443747358)
Δ = 24.102977498943
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{24.102977498943}}{2*1}=\frac{0.6-\sqrt{24.102977498943}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.6)+\sqrt{24.102977498943}}{2*1}=\frac{0.6+\sqrt{24.102977498943}}{2}
$