Multiple choice

Find the common root between quadratic equations x2 – 5x + 6 = 0 and x2 – 7x + 10 = 0.

  1. 3

  2. 2

  3. 5

  4. 4
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Factor the first equation: x^2 - 5x + 6 = (x-2)(x-3) = 0, so roots are 2 and 3. Factor the second equation: x^2 - 7x + 10 = (x-2)(x-5) = 0, so roots are 2 and 5. The common root is 2.

AI explanation

Factorizing the first quadratic equation x2 - 5x + 6 = 0 gives (x - 2)(x - 3) = 0, so its roots are 2 and 3. Factorizing the second quadratic equation x2 - 7x + 10 = 0 gives (x - 2)(x - 5) = 0, so its roots are 2 and 5. The common root between both equations is 2.

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