8h^2-6h-9=0

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Solution for 8h^2-6h-9=0 equation:



8h^2-6h-9=0
a = 8; b = -6; c = -9;
Δ = b2-4ac
Δ = -62-4·8·(-9)
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-18}{2*8}=\frac{-12}{16} =-3/4 $
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+18}{2*8}=\frac{24}{16} =1+1/2 $

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