x^2+7.8x+14.4=0

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Solution for x^2+7.8x+14.4=0 equation:



x^2+7.8x+14.4=0
a = 1; b = 7.8; c = +14.4;
Δ = b2-4ac
Δ = 7.82-4·1·14.4
Δ = 3.24
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{-(7.8)-\sqrt{3.24}}{2*1}=\frac{-7.8-\sqrt{3.24}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7.8)+\sqrt{3.24}}{2*1}=\frac{-7.8+\sqrt{3.24}}{2} $

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