5 and -5
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Answer: The required values of x are 5 and -5.
Step-by-step explanation: We are given to find the values of x that are the solutions to the following equation :
[tex]3x^2-42=33~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the values of x, we must take all the constant terms on one side of the equation.
The solution of equation (i) is as follows :
[tex]3x^2-42=33\\\\\Rightarrow 3x^2=33+42\\\\\Rightarrow 3x^2=75\\\\\Rightarrow x^2=\dfrac{75}{3}\\\\\Rightarrow x^2=25\\\\\Rightarrow x=\pm\sqrt{25}~~~~~~~~~~~~~~~~~~\textup{taking square root on both sides}\\\\\Rightarrow x=\pm5.[/tex]
Thus, the required values of x are 5 and -5.
