Advanced Math practice question

Answer: 7

Multiply by x: x² − 35 = 2x, so x² − 2x − 35 = 0 = (x − 7)(x + 5). The positive solution is 7.

Common wrong answers

If you answered 5

Check: 5 − 7 = −2, the wrong sign; the positive root is 7.

If you answered 35

35 is the constant in the equation, not the solution.

If you answered -5

−5 solves the quadratic but is not positive.

More Advanced Math questions

• Hard
  A population of bacteria doubles every 3 hours. If it starts at 500, which function models the population P af…
• Hard
  How many real solutions does x² + 4x + 5 = 0 have?
• Hard
  A car worth $20,000 loses 15% of its value each year. What is its value after 2 years?
• Hard
  An investment of $1,000 grows at 6% per year, compounded annually. Which expression gives its value after t ye…
• Hard
  If f(x) = x² − 1 and g(x) = x + 2, what is g(f(3))?
• Hard
  The parabola y = x² − 8x + 12 crosses the x-axis at two points. What is the x-coordinate of the vertex?