9u^2+6u-3=0

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Solution for 9u^2+6u-3=0 equation: 



9u^2+6u-3=0

a = 9; b = 6; c = -3;
Δ = b2-4ac
Δ = 62-4·9·(-3)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$


$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-12}{2*9}=\frac{-18}{18}
=-1
$


$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+12}{2*9}=\frac{6}{18}
=1/3
$

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