Advanced MathMediumValue of x² from a circle and a line through the origin
Advanced Math practice question
If x² + y² = 40 and y = 3x, what is the value of x²?
Answer: 4
Substitute y = 3x: x² + 9x² = 40 → 10x² = 40 → x² = 4.
Common wrong answers
- If you answered 2
- 2 is x (one of the values), but the question asks for x².
- If you answered 10
- 10 comes from x² + 3x² = 40, squaring only x but not the 3.
- If you answered 36
- 36 is y² when x² = 4.
More Advanced Math questions
- Medium
What are the solutions to x² − 5x + 6 = 0? - Medium
The graph of f(x) = (x − 3)² + 4 is a parabola. What are the coordinates of its vertex? - Medium
If x² − 2x − 8 = (x + 2)(x − a), what is the value of a? - Medium
If √(x + 5) = 4, what is the value of x? - Medium
If f(x) = x + 3 and g(x) = 2x, what is f(g(4))? - Medium
What are the solutions to x² + 6x + 8 = 0?
Not affiliated with the College Board. SAT is a trademark of the College Board.