8x^2+15x-17=0

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Solution for 8x^2+15x-17=0 equation:



8x^2+15x-17=0
a = 8; b = 15; c = -17;
Δ = b2-4ac
Δ = 152-4·8·(-17)
Δ = 769
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{-(15)-\sqrt{769}}{2*8}=\frac{-15-\sqrt{769}}{16} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{769}}{2*8}=\frac{-15+\sqrt{769}}{16} $

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