Multiple choice

Meera and Sarika attempted to solve a quadratic equation in x. Sarika made a mistake in reading the coefficient of x and obtained the roots as 12 and 16. Meera made a mistake in reading the constant term of the equation. She obtained the roots as -22 and -6. The corrects root(s) is (are): (A) -16 (B) -12 (C) 12 (D) 16 Choose the correct answer from the options given below.

  1. (A) and (B) only

  2. (A) and (C) only

  3. (C) and (D) only

  4. (B) and (D) only
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Sarika's roots (12, 16) imply the sum is 28, but she misread the x-coefficient, so the constant term is correct (12*16 = 192). Meera's roots (-22, -6) imply the product is 132, but she misread the constant, so the x-coefficient is correct (sum = -28, so coefficient is 28). The equation is x^2 - 28x + 192 = 0. Roots are 12 and 16.

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