2*3.6*h+2*3.6*h^2=(3.6^2)*h

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Solution for 2*3.6*h+2*3.6*h^2=(3.6^2)*h equation:



2*3.6h+2*3.6h^2=(3.6^2)*h
We move all terms to the left:
2*3.6h+2*3.6h^2-((3.6^2)*h)=0
Wy multiply elements
6h+6h-((3.6^2)*h)=0
We calculate terms in parentheses: -((3.6^2)*h), so:
(3.6^2)*h
We multiply parentheses
3h^2
Back to the equation:
-(3h^2)
determiningTheFunctionDomain -3h^2+6h+6h=0
We add all the numbers together, and all the variables
-3h^2+12h=0
a = -3; b = 12; c = 0;
Δ = b2-4ac
Δ = 122-4·(-3)·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12}{2*-3}=\frac{-24}{-6} =+4 $
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12}{2*-3}=\frac{0}{-6} =0 $

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