3*x^2-11*x+7.5=0

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Solution for 3*x^2-11*x+7.5=0 equation: 



3x^2-11x+7.5=0

a = 3; b = -11; c = +7.5;
Δ = b2-4ac
Δ = -112-4·3·7.5
Δ = 31
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{-(-11)-\sqrt{31}}{2*3}=\frac{11-\sqrt{31}}{6}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{31}}{2*3}=\frac{11+\sqrt{31}}{6}
$

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