(9+h)h=56

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Solution for (9+h)h=56 equation:



(9+h)h=56
We move all terms to the left:
(9+h)h-(56)=0
We add all the numbers together, and all the variables
(h+9)h-56=0
We multiply parentheses
h^2+9h-56=0
a = 1; b = 9; c = -56;
Δ = b2-4ac
Δ = 92-4·1·(-56)
Δ = 305
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{-(9)-\sqrt{305}}{2*1}=\frac{-9-\sqrt{305}}{2} $
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{305}}{2*1}=\frac{-9+\sqrt{305}}{2} $

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