3/14h+2/21h=1

Solution for 3/14h+2/21h=1 equation:

3/14h+2/21h=1

We move all terms to the left:

3/14h+2/21h-(1)=0


Domain of the equation: 14h!=0

h!=0/14

h!=0

h∈R



Domain of the equation: 21h!=0

h!=0/21

h!=0

h∈R


We calculate fractions


63h/294h^2+28h/294h^2-1=0

We multiply all the terms by the denominator


63h+28h-1*294h^2=0

We add all the numbers together, and all the variables

91h-1*294h^2=0

Wy multiply elements

-294h^2+91h=0

a = -294; b = 91; c = 0;
Δ = b2-4ac
Δ = 912-4·(-294)·0
Δ = 8281
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8281}=91$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(91)-91}{2*-294}=\frac{-182}{-588}
=13/42
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(91)+91}{2*-294}=\frac{0}{-588}
=0
$