Question

Which values of x are solutions to the equation below 3x^2-42=33

Answer 1

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 :

$3x^2-42=33~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

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 :

$3x^2-42=33\\\\\Rightarrow 3x^2=33+42\\\\\Rightarrow 3x^2=75\\\\\Rightarrow x^2=\dfrac{75}{3}\\\\\Rightarrow x^2=25\\\\\Rightarrow x=\pm\sqrt{25}~~~~~~~~~~~~~~~~~~\textup{taking square root on both sides}\\\\\Rightarrow x=\pm5.$

Thus, the required values of x are 5 and -5.

Answer 2

5 and -5

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