x^2/0.5=1.8*10^-5

Solution for x^2/0.5=1.8*10^-5 equation:

x^2/0.5=1.8*10^-5

We move all terms to the left:

x^2/0.5-(1.8*10^-5)=0

We add all the numbers together, and all the variables

x^2/0.5-5-1.8E=0

We multiply all the terms by the denominator


x^2-5*0.5-(1.8E)*0.5=0

We add all the numbers together, and all the variables

x^2-5*0.5-(4.8929072912263)*0.5=0

We add all the numbers together, and all the variables

x^2-4.9464536456132=0

a = 1; b = 0; c = -4.9464536456132;
Δ = b2-4ac
Δ = 02-4·1·(-4.9464536456132)
Δ = 19.785814582453
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)-\sqrt{19.785814582453}}{2*1}=\frac{0-\sqrt{19.785814582453}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{19.785814582453}}{2*1}=\frac{0+\sqrt{19.785814582453}}{2}
=\frac{\sqrt{}}{2}
$