3x=8x2

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Solution for 3x=8x2 equation:



3x=8x^2
We move all terms to the left:
3x-(8x^2)=0
determiningTheFunctionDomain -8x^2+3x=0
a = -8; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-8)·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*-8}=\frac{-6}{-16} =3/8 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-8}=\frac{0}{-16} =0 $

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