Mathematics
Solve the following equation:
3x2 - 4x - 4 = 0
Quadratic Equations
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Answer
Given, 3x2 - 4x - 4 = 0.
⇒ 3x2 - 6x + 2x - 4 = 0
⇒ 3x(x - 2) + 2(x - 2) = 0
⇒ (3x + 2)(x - 2) = 0
⇒ 3x + 2 = 0 or x - 2 = 0
⇒ 3x = -2 or x = 2
⇒ x = or x = 2.
Hence, roots of the given equations are 2,
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