Advanced MathEasy–MediumValue of x² from a difference-of-squares equation
Advanced Math practice question
If (x − 3)(x + 3) = 27, what is the value of x²?
Answer: 36
(x − 3)(x + 3) = x² − 9, so x² − 9 = 27 and x² = 36.
Common wrong answers
- If you answered 6
- 6 is a value of x, but the question asks for x².
- If you answered 18
- 18 comes from x² − 9 = 27 solved as x² = 27 − 9.
- If you answered 30
- 30 comes from x² − 3 = 27, using 3 instead of 9.
More Advanced Math questions
- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - Easy–Medium
Which expression is equivalent to (2x³)(3x⁴)? - Easy–Medium
What are the solutions to x² − 16 = 0? - Easy–Medium
Which expression is equivalent to (x + 5)²? - Easy–Medium
For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
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