Question

Is there a number which is equal to its cube but not equal to its square? if yes find it??​

Answer 1

Answer:

-1

Step-by-step explanation:

There are only 2 real numbers which are equal to their cube i.e 1 and -1

Now square of 1=1

But square of -1=1

So -1 is required answer

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Answer 2

Answer:

here is your answer

Step-by-step explanation:

Just observe the above graph

The white line(W) is f(x)=x

The blue curve(B) is g(x)=x^2

The green curve(G) is h(x)=x^3

As you could see from the graph W is meeting G only at one point and it is (-1,-1). The meeting of W with G tells us that there is a number which is having value equal to its cube.

...... Thus the answer is -1.

If we would had to find a number which is having its value equal to its square and its cube?

Ans . Then from the graph we could observe by seeing the point at which the graph of f(x)=x,g(x)=x^2,h(x)=x^3 intersects or where the W,B,G meets it will thereby give us the required answer and by observing from the graph we could see (1,1). Hence we conclude that when we have the input of function f,g,h as x=1 we get the same output i.e 1