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Mathematics

Which of the following is a root of the quadratic equation, 3x2 + 13x + 14 = 0 ?

  1. 13-\dfrac{1}{3}

  2. 32-\dfrac{3}{2}

  3. 53-\dfrac{5}{3}

  4. 73-\dfrac{7}{3}

Quadratic Equations

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Answer

Given,

⇒ 3x2 + 13x + 14 = 0

⇒ 3x2 + 6x + 7x + 14 = 0

⇒ 3x(x + 2) + 7(x + 2) = 0

⇒ (3x + 7)(x + 2) = 0

⇒ 3x + 7 = 0 or x + 2 = 0      [Using Zero-product rule]

⇒ 3x = -7 or x = -2

⇒ x = 73-\dfrac{7}{3} or x = -2

Hence, option 4 is the correct option.

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