9-3x-2x2=0

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Solution for 9-3x-2x2=0 equation:



9-3x-2x^2=0
a = -2; b = -3; c = +9;
Δ = b2-4ac
Δ = -32-4·(-2)·9
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-9}{2*-2}=\frac{-6}{-4} =1+1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+9}{2*-2}=\frac{12}{-4} =-3 $

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