2/9x2=8

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Solution for 2/9x2=8 equation:



2/9x^2=8
We move all terms to the left:
2/9x^2-(8)=0
Domain of the equation: 9x^2!=0
x^2!=0/9
x^2!=√0
x!=0
x∈R
We multiply all the terms by the denominator
-8*9x^2+2=0
Wy multiply elements
-72x^2+2=0
a = -72; b = 0; c = +2;
Δ = b2-4ac
Δ = 02-4·(-72)·2
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24}{2*-72}=\frac{-24}{-144} =1/6 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24}{2*-72}=\frac{24}{-144} =-1/6 $

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