Question

Q) F(x) = x3 - 2x .. Find all the Zeroes ?

Answer 1

Solution is attached below

Answer 2

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 = +$\sqrt{2\\}$ or x = -$\sqrt{2}$

• x=0

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