4x+2=6x2

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Solution for 4x+2=6x2 equation:



4x+2=6x^2
We move all terms to the left:
4x+2-(6x^2)=0
determiningTheFunctionDomain -6x^2+4x+2=0
a = -6; b = 4; c = +2;
Δ = b2-4ac
Δ = 42-4·(-6)·2
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-8}{2*-6}=\frac{-12}{-12} =1 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+8}{2*-6}=\frac{4}{-12} =-1/3 $

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