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Find all the solutions to 3x^3 - 6x^2 + 30x - 20 = -20

Find all the solutions to 3x^3 - 6x^2 + 30x - 20 = -20-example-1
User MOHW
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1 Answer

3 votes

Answer: Option (1)

Explanation:


3x^3 - 6x^2 + 30x-20=-20\\\\3x^3 - 6x^2 + 30x=0\\\\3x(x^2 - 2x+10)=0\\\\

So, either
x=0 or
x^2 -2x +10=0

For the second case, we know x=0.

For the second case, we can use the quadratic formula.


x=(2 \pm √((-2)^2 - 4(1)(10)))/(2)\\\\x=1 \pm 3i

User Mansoor Akram
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