Multiple choice

A and B attempted to solve a quadratic equation. A made a mistake in writing down the constant term and ended up in roots (4, 3). B made a mistake in writing down the coefficient of x and get roots (3, 2). The correct roots of the equation are-

  1. -4, -3

  2. 6, 1

  3. 4, 3

  4. -6, -1
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A's roots (4, 3) give the equation x² - 7x + constant_A = 0, so the correct coefficient of x is -7. B's roots (3, 2) give the equation x² + (coefficient_B)x + 6 = 0, so the correct constant term is 6. The correct equation is x² - 7x + 6 = 0, which factors as (x-6)(x-1) = 0, giving roots 6 and 1.

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