h^2+18h+72=0

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Solution for h^2+18h+72=0 equation: 



h^2+18h+72=0

a = 1; b = 18; c = +72;
Δ = b2-4ac
Δ = 182-4·1·72
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$


$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-6}{2*1}=\frac{-24}{2}
=-12
$


$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+6}{2*1}=\frac{-12}{2}
=-6
$

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