7h^2+3h-6=0

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Solution for 7h^2+3h-6=0 equation:



7h^2+3h-6=0
a = 7; b = 3; c = -6;
Δ = b2-4ac
Δ = 32-4·7·(-6)
Δ = 177
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{177}}{2*7}=\frac{-3-\sqrt{177}}{14} $
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{177}}{2*7}=\frac{-3+\sqrt{177}}{14} $

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