-2.7x^2+13.5x+14=0

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Solution for -2.7x^2+13.5x+14=0 equation: 



-2.7x^2+13.5x+14=0

a = -2.7; b = 13.5; c = +14;
Δ = b2-4ac
Δ = 13.52-4·(-2.7)·14
Δ = 333.45
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{-(13.5)-\sqrt{333.45}}{2*-2.7}=\frac{-13.5-\sqrt{333.45}}{-5.4}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13.5)+\sqrt{333.45}}{2*-2.7}=\frac{-13.5+\sqrt{333.45}}{-5.4}
$

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