16.1+d=22/d=6.1

Solution for 16.1+d=22/d=6.1 equation:

16.1+d=22/d=6.1

We move all terms to the left:

16.1+d-(22/d)=0


Domain of the equation: d)!=0

d!=0/1

d!=0

d∈R


We add all the numbers together, and all the variables

d-(+22/d)+16.1=0

We get rid of parentheses

d-22/d+16.1=0

We multiply all the terms by the denominator


d*d+(16.1)*d-22=0

We multiply parentheses

d*d+16.1d-22=0

Wy multiply elements

d^2+16.1d-22=0

a = 1; b = 16.1; c = -22;
Δ = b2-4ac
Δ = 16.12-4·1·(-22)
Δ = 347.21
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16.1)-\sqrt{347.21}}{2*1}=\frac{-16.1-\sqrt{347.21}}{2}
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16.1)+\sqrt{347.21}}{2*1}=\frac{-16.1+\sqrt{347.21}}{2}
$