Mathematics
Which of the following is a root of the quadratic equation, 3x2 + 13x + 14 = 0 ?
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 = or x = -2
Hence, option 4 is the correct option.
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