(x^2)/0.42-x=0

Solution for (x^2)/0.42-x=0 equation:

(x^2)/0.42-x=0

We add all the numbers together, and all the variables

x^2/0.42-1x=0

We multiply all the terms by the denominator


x^2-1x*0.42=0

Wy multiply elements

x^2-0.42x=0

a = 1; b = -0.42; c = 0;
Δ = b2-4ac
Δ = -0.422-4·1·0
Δ = 0.1764
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{-(-0.42)-\sqrt{0.1764}}{2*1}=\frac{0.42-\sqrt{0.1764}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.42)+\sqrt{0.1764}}{2*1}=\frac{0.42+\sqrt{0.1764}}{2}
$