Question

14. Ryan worked the following problem. He made an error. What is the correct answer 2x^2 - 33 = 392x^2= 72x² = 36x = 6

Answer 1

Given the equation;

`2x^2-33=39`

to solve for x;

add 33 to both sides to collect the like terms, we have;

`\begin{gathered} 2x^2-33+33=39+33 \\ 2x^2=72 \end{gathered}`

then let's divide both sides by 2;

`\begin{gathered} (2x^2)/(2)=(72)/(2) \\ x^2=36 \end{gathered}`

then to get the value of x, we will square root both sides;

`\begin{gathered} √(x^2)=√(36) \\ x=6 \end{gathered}`

from the following equation, we can see that all the steps in the initial solution is right.

to confirm; let us substitute x=6 into the initial equation to see if we will get the corresponding answer;

`\begin{gathered} 2x^2-33 \\ at\text{ x=6} \\ 2x^2-33=2(6)^2-33=72-33=39 \end{gathered}`

This confirms that x=6 is the correct answer.

He made no error.