x^2+17x-18.96=0

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Solution for x^2+17x-18.96=0 equation:



x^2+17x-18.96=0
a = 1; b = 17; c = -18.96;
Δ = b2-4ac
Δ = 172-4·1·(-18.96)
Δ = 364.84
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{-(17)-\sqrt{364.84}}{2*1}=\frac{-17-\sqrt{364.84}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{364.84}}{2*1}=\frac{-17+\sqrt{364.84}}{2} $

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