5h-18/h=-5

Solution for 5h-18/h=-5 equation:

5h-18/h=-5

We move all terms to the left:

5h-18/h-(-5)=0


Domain of the equation: h!=0

h∈R


We add all the numbers together, and all the variables

5h-18/h+5=0

We multiply all the terms by the denominator


5h*h+5*h-18=0

We add all the numbers together, and all the variables

5h+5h*h-18=0

Wy multiply elements

5h^2+5h-18=0

a = 5; b = 5; c = -18;
Δ = b2-4ac
Δ = 52-4·5·(-18)
Δ = 385
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{-(5)-\sqrt{385}}{2*5}=\frac{-5-\sqrt{385}}{10}
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{385}}{2*5}=\frac{-5+\sqrt{385}}{10}
$