Asked by suie
x^3e^x - 4e^x =0
Answers
Answered by
Damon
e^x (x^3 - 4) = 0
e^x = 0
x = -oo
x^3 = 4
x = 4^(.333....)
Not sure if you do complex arithmetic
360/3 = 120
if so you also have two complex roots
one at +120 degrees and one at - 120
x = r (cos 120 + i sin 120)
x = 4^(1/3) ( -.5 + i sqrt3/2)
x = 4^.3333...(.5)(-1+isqrt 3)
and the other is
x = 4^.3333...(.5)(-1-isqrt 3)
e^x = 0
x = -oo
x^3 = 4
x = 4^(.333....)
Not sure if you do complex arithmetic
360/3 = 120
if so you also have two complex roots
one at +120 degrees and one at - 120
x = r (cos 120 + i sin 120)
x = 4^(1/3) ( -.5 + i sqrt3/2)
x = 4^.3333...(.5)(-1+isqrt 3)
and the other is
x = 4^.3333...(.5)(-1-isqrt 3)
Answered by
suie
but the answers are 0,-2,2
Answered by
Reiny
If the equation is as you typed my money is riding with Damon.
Your answers don't even come close to satisfying the equation.
Your answers don't even come close to satisfying the equation.
Answered by
suie
are u sure b/c the answers are from the book
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