Question

Please help me with this!​

Answer 1

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.

Answer 2

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

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`