9.76d(12.81d)=8.54

Solution for 9.76d(12.81d)=8.54 equation:

9.76d(12.81d)=8.54

We move all terms to the left:

9.76d(12.81d)-(8.54)=0

We add all the numbers together, and all the variables

9.76d(+12.81d)-(8.54)=0

We add all the numbers together, and all the variables

9.76d(+12.81d)-8.54=0

We multiply parentheses

108d^2-8.54=0

a = 108; b = 0; c = -8.54;
Δ = b2-4ac
Δ = 02-4·108·(-8.54)
Δ = 3689.28
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{-(0)-\sqrt{3689.28}}{2*108}=\frac{0-\sqrt{3689.28}}{216}
=-\frac{\sqrt{}}{216}
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{3689.28}}{2*108}=\frac{0+\sqrt{3689.28}}{216}
=\frac{\sqrt{}}{216}
$