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Question
Solve the following quadratic equation:
x2 + 12x + 35 = 0
Sum
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Solution
Given:
x2 + 12x + 35 = 0
⇒ x2 + 7x + 5x + 35 = 0
⇒ x(x + 7) + 5(x + 7) = 0
⇒ (x + 5)(x + 7) = 0
⇒ x + 5 = 0 or x + 7 = 0
⇒ x = –5 or x = –7
Hence, –5 and –7 are the roots of the equation x2 + 12x + 35 = 0.
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