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150=(40000/d^2)
We move all terms to the left:
150-((40000/d^2))=0
Domain of the equation: d^2))!=0We multiply all the terms by the denominator
d!=0/1
d!=0
d∈R
-((40000+150*d^2))=0
We calculate terms in parentheses: -((40000+150*d^2)), so:We get rid of parentheses
(40000+150*d^2)
We get rid of parentheses
150*d^2+40000
We add all the numbers together, and all the variables
150d^2+40000
Back to the equation:
-(150d^2+40000)
-150d^2-40000=0
a = -150; b = 0; c = -40000;
Δ = b2-4ac
Δ = 02-4·(-150)·(-40000)
Δ = -24000000
Delta is less than zero, so there is no solution for the equation
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