16Hit1600
Advanced MathEasy–MediumPositive root of a trinomial

Advanced Math practice question

What is the positive value of x that satisfies x² − 3x − 10 = 0?

Answer: 5

Factor: (x − 5)(x + 2) = 0, so x = 5 or x = −2. The positive one is 5. Check: 25 − 15 − 10 = 0.

Common wrong answers

If you answered 2
2 has the wrong sign; x + 2 = 0 gives x = −2.
If you answered 10
10 is the constant term; x = 10 gives 100 − 30 − 10 = 60.
If you answered -2
−2 is the other solution, which is negative.

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