1.5h/1.25h=8h

Solution for 1.5h/1.25h=8h equation:

1.5h/1.25h=8h

We move all terms to the left:

1.5h/1.25h-(8h)=0


Domain of the equation: 1.25h!=0

h!=0/1.25

h!=0

h∈R


We add all the numbers together, and all the variables

-8h+1.5h/1.25h=0

We multiply all the terms by the denominator


-8h*1.25h+1.5h=0

We add all the numbers together, and all the variables

1.5h-8h*1.25h=0

Wy multiply elements

-8h^2+1.5h=0

a = -8; b = 1.5; c = 0;
Δ = b2-4ac
Δ = 1.52-4·(-8)·0
Δ = 2.25
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{-(1.5)-\sqrt{2.25}}{2*-8}=\frac{-1.5-\sqrt{2.25}}{-16}
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.5)+\sqrt{2.25}}{2*-8}=\frac{-1.5+\sqrt{2.25}}{-16}
$