8x2-14x-9=0

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Solution for 8x2-14x-9=0 equation:



8x^2-14x-9=0
a = 8; b = -14; c = -9;
Δ = b2-4ac
Δ = -142-4·8·(-9)
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-22}{2*8}=\frac{-8}{16} =-1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+22}{2*8}=\frac{36}{16} =2+1/4 $

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