3x^2-3x+4x^2-4=190

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Solution for 3x^2-3x+4x^2-4=190 equation:



3x^2-3x+4x^2-4=190
We move all terms to the left:
3x^2-3x+4x^2-4-(190)=0
We add all the numbers together, and all the variables
7x^2-3x-194=0
a = 7; b = -3; c = -194;
Δ = b2-4ac
Δ = -32-4·7·(-194)
Δ = 5441
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{-(-3)-\sqrt{5441}}{2*7}=\frac{3-\sqrt{5441}}{14} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{5441}}{2*7}=\frac{3+\sqrt{5441}}{14} $

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