18=2x*x

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Solution for 18=2x*x equation:



18=2x*x
We move all terms to the left:
18-(2x*x)=0
We add all the numbers together, and all the variables
-(+2x*x)+18=0
We get rid of parentheses
-2x*x+18=0
Wy multiply elements
-2x^2+18=0
a = -2; b = 0; c = +18;
Δ = b2-4ac
Δ = 02-4·(-2)·18
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12}{2*-2}=\frac{-12}{-4} =+3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12}{2*-2}=\frac{12}{-4} =-3 $

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