10/5h-2h=

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Solution for 10/5h-2h= equation:



10/5h-2h=
We move all terms to the left:
10/5h-2h-()=0
Domain of the equation: 5h!=0
h!=0/5
h!=0
h∈R
We add all the numbers together, and all the variables
-2h+10/5h=0
We multiply all the terms by the denominator
-2h*5h+10=0
Wy multiply elements
-10h^2+10=0
a = -10; b = 0; c = +10;
Δ = b2-4ac
Δ = 02-4·(-10)·10
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20}{2*-10}=\frac{-20}{-20} =1 $
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20}{2*-10}=\frac{20}{-20} =-1 $

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