Multiple choice

Root of quadratic equation $x^{2}\, +\, 5x\, -\, 14\, =\, 0$ is

  1. $-2$
  2. $-7$
  3. $3$

  4. None of these
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B Correct answer
Explanation

Factoring x^2 + 5x - 14 = 0 gives (x + 7)(x - 2) = 0. The roots are -7 and 2.

AI explanation

To find the roots of x squared plus 5x minus 14 equals 0, use the method of splitting the middle term. We need two numbers that multiply to minus 14 and add to 5, which are 7 and minus 2. This lets us factor the equation into x plus 7 times x minus 2 equals 0. Setting each factor to zero gives the roots as minus 7 and 2, and the matching option is minus 7.

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