Chapter 9.4, Problem 30MCQ

(a)

To determine

The solution of the equations.

Answer to Problem 30MCQ

  $x=\frac{5}{2},-4$

Explanation of Solution

Given:

The given equations are:

  $\begin{array}{l}{x}^2-4=0\\ 2x^2-8=0\end{array}$

Calculation:

The table for x and y values will be:

  

The graphs will be:

  

  

(b)

To determine

The reason behind the same x-intercepts for both the equations.

Explanation of Solution

Given:

The given equations are:

  $\begin{array}{l}{x}^2-4=0\\ 2x^2-8=0\end{array}$

Calculation:

Consider the second expression:

  $\begin{array}{l}2x^2-8=0\\ 2\left(x^2-4\right)=0\\ x^2-4=0\end{array}$

Hence, both the statements are same and therefore, the x −intercepts are same.