21-h=15/h=6

Solution for 21-h=15/h=6 equation:

21-h=15/h=6

We move all terms to the left:

21-h-(15/h)=0


Domain of the equation: h)!=0

h!=0/1

h!=0

h∈R


We add all the numbers together, and all the variables

-h-(+15/h)+21=0

We add all the numbers together, and all the variables

-1h-(+15/h)+21=0

We get rid of parentheses

-1h-15/h+21=0

We multiply all the terms by the denominator


-1h*h+21*h-15=0

We add all the numbers together, and all the variables

21h-1h*h-15=0

Wy multiply elements

-1h^2+21h-15=0

a = -1; b = 21; c = -15;
Δ = b2-4ac
Δ = 212-4·(-1)·(-15)
Δ = 381
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-\sqrt{381}}{2*-1}=\frac{-21-\sqrt{381}}{-2}
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+\sqrt{381}}{2*-1}=\frac{-21+\sqrt{381}}{-2}
$