Multiple choice

Solve the equation: π‘₯ 2 βˆ’ 7 π‘₯ + 12 = 0

  1. 2, 6

  2. 3, 4

  3. 1, 12

  4. 4, 5

  5. 6, 1
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B Correct answer
Explanation

To solve x^2 - 7x + 12 = 0, factor the quadratic equation into (x - 3)(x - 4) = 0. Setting each factor to zero gives x = 3 and x = 4.

AI explanation

To solve the quadratic equation x^2 - 7x + 12 = 0 using the factoring method, we need two numbers that multiply to 12 and add to -7. Those numbers are -3 and -4, so the equation becomes (x - 3)(x - 4) = 0. Solving these linear equations gives the roots x = 3 and x = 4.

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