Question

Find the zeros of: x^3 - 2x

Answer 1

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Answer 2

Answers

given: x³=2x

to find: all the zeroes of the given equation

1. Taking all the terms on LHS:

let, x^3 - 2x = 0

2. Taking x common from both the terms:

x(x^2 - 2) = 0

3. now, either x can be zero, or x^2 -2 can be zero

x^2 - 2 = 0

solving this equation, we get

x^2=2

x = +root 2 or x = - root 2

x=0

so, there are 3 zeroes and the zeroes of the given equation are 0, ±√2

Step-by-step explanation:

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