x-9+2x^2=0

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Solution for x-9+2x^2=0 equation: 



x-9+2x^2=0

a = 2; b = 1; c = -9;
Δ = b2-4ac
Δ = 12-4·2·(-9)
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{-(1)-\sqrt{73}}{2*2}=\frac{-1-\sqrt{73}}{4}
$


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

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