3x^2+9x-16=0

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Solution for 3x^2+9x-16=0 equation: 



3x^2+9x-16=0

a = 3; b = 9; c = -16;
Δ = b2-4ac
Δ = 92-4·3·(-16)
Δ = 273
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{273}}{2*3}=\frac{-9-\sqrt{273}}{6}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{273}}{2*3}=\frac{-9+\sqrt{273}}{6}
$

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