Multiple choice

If one root of the equation a(b - c)x2 + b(c - a)x + c(a - b) = 0 is 1, then the other root is __________.

  1. b(c - a)/ a(b - c)

  2. c(a - b) /a(b - c)

  3. b(a- c)/ a(b - c)

  4. a(b - c)/ c(a - b)
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For a quadratic equation Ax^2 + Bx + C = 0, the product of roots is C/A. Here, A = a(b-c), B = b(c-a), C = c(a-b). One root is 1, so the other root is C/A = c(a-b) / a(b-c).

AI explanation

Using the product of roots formula for the quadratic equation ax^2 + bx + c = 0, the product of the roots is c divided by a. For the equation a(b - c)x^2 + b(c - a)x + c(a - b) = 0, the product of the roots is c(a - b) divided by a(b - c). Since one root is 1, the other root is simply the product divided by 1, which equals c(a - b) divided by a(b - c).

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