Advanced MathEasySum of the solutions of a factored equation
Advanced Math practice question
The equation (x − 2)(x − 3) = 0 is true for exactly two values of x. What is the sum of those two values?
Answer: 5
A product is zero when a factor is zero: x = 2 or x = 3. Their sum is 5.
Common wrong answers
- If you answered 1
- 1 subtracts the solutions.
- If you answered 6
- 6 is the product of the solutions, not the sum.
- If you answered -5
- −5 has the wrong sign; the solutions are 2 and 3, not −2 and −3.
More Advanced Math questions
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If f(x) = 3x − 7, what is the value of f(5)? - Easy
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For x > 0, which of the following is equivalent to ∛(x⁵) ? - Easy
The function h is defined by h(x) = (x − 6)(x + 2). What is one value of x for which h(x) = 0 ?
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