27/18=x2

Solution for 27/18=x2 equation:

27/18=x2

We move all terms to the left:

27/18-(x2)=0

We add all the numbers together, and all the variables

-1x^2+27/18=0

We multiply all the terms by the denominator


-1x^2*18+27=0

Wy multiply elements

-18x^2+27=0

a = -18; b = 0; c = +27;
Δ = b2-4ac
Δ = 02-4·(-18)·27
Δ = 1944
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1944}=\sqrt{324*6}=\sqrt{324}*\sqrt{6}=18\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18\sqrt{6}}{2*-18}=\frac{0-18\sqrt{6}}{-36}
=-\frac{18\sqrt{6}}{-36}
=-\frac{\sqrt{6}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18\sqrt{6}}{2*-18}=\frac{0+18\sqrt{6}}{-36}
=\frac{18\sqrt{6}}{-36}
=\frac{\sqrt{6}}{-2}
$