Multiple choice

Solve the following equation: $x^2-7x+12=0$

  1. $x_1=1,x_2=2$
  2. $x+1=2,x+2=3$
  3. $x_1=3,x_2=4$
  4. $x_1=5,x_2=6$
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C Correct answer
Explanation

The quadratic equation x^2 - 7x + 12 = 0 can be factored as (x-3)(x-4) = 0. Thus, the roots are x = 3 and x = 4.

AI explanation

We factor the quadratic equation x^2 - 7x + 12 = 0 by finding two numbers that multiply to 12 and add to -7. These numbers are -3 and -4, allowing us to write the equation as (x - 3)(x - 4) = 0. Setting each factor to zero gives the roots x_1 = 3 and x_2 = 4.

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