3/7h+2/h=1

Solution for 3/7h+2/h=1 equation:

3/7h+2/h=1

We move all terms to the left:

3/7h+2/h-(1)=0


Domain of the equation: 7h!=0

h!=0/7

h!=0

h∈R



Domain of the equation: h!=0

h∈R


We calculate fractions


3h/7h^2+14h/7h^2-1=0

We multiply all the terms by the denominator


3h+14h-1*7h^2=0

We add all the numbers together, and all the variables

17h-1*7h^2=0

Wy multiply elements

-7h^2+17h=0

a = -7; b = 17; c = 0;
Δ = b2-4ac
Δ = 172-4·(-7)·0
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-17}{2*-7}=\frac{-34}{-14}
=2+3/7
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+17}{2*-7}=\frac{0}{-14}
=0
$