10*20=8*d2

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Solution for 10*20=8*d2 equation:



10*20=8d^2
We move all terms to the left:
10*20-(8d^2)=0
We add all the numbers together, and all the variables
-8d^2+200=0
a = -8; b = 0; c = +200;
Δ = b2-4ac
Δ = 02-4·(-8)·200
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80}{2*-8}=\frac{-80}{-16} =+5 $
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80}{2*-8}=\frac{80}{-16} =-5 $

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