Mathematics
Solve :
x(x + 1) + (x + 2)(x + 3) = 42
Quadratic Equations
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Answer
Given,
⇒ x(x + 1) + (x + 2)(x + 3) = 42
⇒ x2 + x + x2 + 3x + 2x + 6 = 42
⇒ 2x2 + 6x + 6 - 42 = 0
⇒ 2x2 + 6x - 36 = 0
⇒ 2(x2 + 3x - 18) = 0
⇒ x2 + 3x - 18 = 0
⇒ x2 + 6x - 3x - 18 = 0
⇒ x(x + 6) - 3(x + 6) = 0
⇒ (x + 6)(x - 3) = 0
⇒ x + 6 = 0 or x - 3 = 0
⇒ x = -6 or x = 3.
Hence, x = 3, -6.
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