Question

maths question find the zeros of f x is equal to x cube minus 2 x square​

Answer 1

Answer:

0,√2,-√2

Step-by-step explanation:

f(x) = x³ - 2x

to find zeroes...

x³ - 2x = 0

x(x² - 2) = 0

therefore x = 0 , √2 , -√2

Answer 2

GIVEN :

The function f is defined by $f(x)=x^3-2x^2$

TO FIND :

The zeros of the given function f(x)

SOLUTION :

From the given equation  $f(x)=x^3-2x^2$

To find the zeros of f(x).

First equate the given function f(x) to zero.

That is f(x)=0

$f(x)= x^3-2x^2= 0$

Now solving the cubic equation

$x^3-2x^2=0$

Taking the common term $x^2$ outside.

$x^2(x-2)=0$

$x^2=0$ or x-2=0

Hence x=0, 0  or x=2

∴ the zeros are 0,0 and 2.

∴ the zeros of the given function f(x) is 0,0 and 2.