88/d=8d

Solution for 88/d=8d equation:

88/d=8d

We move all terms to the left:

88/d-(8d)=0


Domain of the equation: d!=0

d∈R


We add all the numbers together, and all the variables

-8d+88/d=0

We multiply all the terms by the denominator


-8d*d+88=0

Wy multiply elements

-8d^2+88=0

a = -8; b = 0; c = +88;
Δ = b2-4ac
Δ = 02-4·(-8)·88
Δ = 2816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2816}=\sqrt{256*11}=\sqrt{256}*\sqrt{11}=16\sqrt{11}$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{11}}{2*-8}=\frac{0-16\sqrt{11}}{-16}
=-\frac{16\sqrt{11}}{-16}
=-\frac{\sqrt{11}}{-1}
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{11}}{2*-8}=\frac{0+16\sqrt{11}}{-16}
=\frac{16\sqrt{11}}{-16}
=\frac{\sqrt{11}}{-1}
$