6.5-9x+3x^2=0

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Solution for 6.5-9x+3x^2=0 equation: 



6.5-9x+3x^2=0

a = 3; b = -9; c = +6.5;
Δ = b2-4ac
Δ = -92-4·3·6.5
Δ = 3
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{-(-9)-\sqrt{3}}{2*3}=\frac{9-\sqrt{3}}{6}
$


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

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