Advanced Math practice question

Answer: 1

Multiply both sides by x: 6 = x² − x, so x² − x − 6 = 0. Factor: (x − 3)(x + 2) = 0, giving x = 3 or x = −2. Both check (6/3 = 2 = 3 − 1; 6/(−2) = −3 = −2 − 1). Their sum is 3 + (−2) = 1.

Common wrong answers

If you answered 3

3 is one of the two solutions. The question asks for their sum, and the other solution is −2.

If you answered 5

5 is 3 − (−2), the difference. The sum is 3 + (−2) = 1.

If you answered −2

−2 is the other solution. Add it to 3 to get the sum, 1.

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?