2h+6/h=7

Solution for 2h+6/h=7 equation:

2h+6/h=7

We move all terms to the left:

2h+6/h-(7)=0


Domain of the equation: h!=0

h∈R


We multiply all the terms by the denominator


2h*h-7*h+6=0

We add all the numbers together, and all the variables

-7h+2h*h+6=0

Wy multiply elements

2h^2-7h+6=0

a = 2; b = -7; c = +6;
Δ = b2-4ac
Δ = -72-4·2·6
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-1}{2*2}=\frac{6}{4}
=1+1/2
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+1}{2*2}=\frac{8}{4}
=2
$