Question

Please help me with this!​

Answer 1

Answer:

Yes, x = 0 is a solution to the given equation

Step-by-step explanation:

• $1^3+1(1-1)=1-x^2$ (Given)

• $L.H.S.=1^3+1(1-1)$

• $= 1 +1(0)$

• $= 1+0$

• $=1$

• $R.H.S. =1-x^2$

• $=1-(0)^2$ (Plug x = 0)

• $=1-0$

• $=1$

• $\implies L.H.S. = R.H.S.$

• Thus, x = 0 is a solution to the equation $1^3+1(1-1)=1-x^2$

Answer 2

Hi Student!

The goal of this question is to determine x = 0 is a solution of the expression that was provided.  The first step that we must take is input 0 into all of the x's that we have in the expression.  Then we just simplify both sides and determine if the end expression is true and if it is then x = 0 is a solution.

Plug in the values

• $1^3 + 1(1 - 1) = 1 - x^2$

• $1^3 + 1(1 - 1) = 1 - (0)^2$

Simplify both sides

• $1^3 + 1(0) = 1 - 0$

• $1 + 0 = 1$

• $1 = 1$

Looking at the final expression, we can see that 1 is indeed equal to 1 and since the expression is true, we can say that x = 0 is a solution of the expression that was provided in the problem statement.