Advanced MathVery hardRational equation with a shared denominator
Advanced Math practice question
For what value of x does x/(x − 3) equal 2 + 6/(x − 3)?
Answer: 0
Multiply both sides by (x − 3): x = 2(x − 3) + 6 = 2x. So x = 0. Check: 0/(−3) = 0 and 2 + 6/(−3) = 0.
Common wrong answers
- If you answered 3
- 3 makes the denominators zero and is not allowed.
- If you answered 6
- 6 comes from x = 2x − 6, dropping the +6 on the right.
- If you answered -6
- −6 comes from x = 2x + 6 + 6 with a sign error.
More Advanced Math questions
- Very hard
The function f(x) = x² + 6x + 5 is rewritten in the form f(x) = (x + a)² + b. What is the value of b? - Very hard
What is the solution to the equation 6/(x − 2) = 3? - Very hard
The polynomial p(x) = x³ − 4x has how many distinct real zeros? - Very hard
The polynomial p is defined by p(x) = x³ + ax² + bx − 12, where a and b are constants. If x − 2 is a factor of… - Very hard
The function f, defined by f(x) = 3000(1.331)^(x/12), gives the value, in dollars, of an investment x months a… - Very hard
In the xy-plane, the parabola y = x² − 4x + 7 and the line y = mx − 2, where m is a constant, intersect at exa…
Not affiliated with the College Board. SAT is a trademark of the College Board.