6x^2-13x+6=2x^2

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Solution for 6x^2-13x+6=2x^2 equation:



6x^2-13x+6=2x^2
We move all terms to the left:
6x^2-13x+6-(2x^2)=0
determiningTheFunctionDomain 6x^2-2x^2-13x+6=0
We add all the numbers together, and all the variables
4x^2-13x+6=0
a = 4; b = -13; c = +6;
Δ = b2-4ac
Δ = -132-4·4·6
Δ = 73
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-\sqrt{73}}{2*4}=\frac{13-\sqrt{73}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+\sqrt{73}}{2*4}=\frac{13+\sqrt{73}}{8} $

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