4320/(18h)=34-h

Solution for 4320/(18h)=34-h equation:

4320/(18h)=34-h

We move all terms to the left:

4320/(18h)-(34-h)=0


Domain of the equation: 18h!=0

h!=0/18

h!=0

h∈R


We add all the numbers together, and all the variables

4320/18h-(-1h+34)=0

We get rid of parentheses

4320/18h+1h-34=0

We multiply all the terms by the denominator


1h*18h-34*18h+4320=0

Wy multiply elements

18h^2-612h+4320=0

a = 18; b = -612; c = +4320;
Δ = b2-4ac
Δ = -6122-4·18·4320
Δ = 63504
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{63504}=252$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-612)-252}{2*18}=\frac{360}{36}
=10
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-612)+252}{2*18}=\frac{864}{36}
=24
$