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Mathematics

Solve the following equation:

2x2 + 7x + 6 = 0

Quadratic Equations

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Answer

Given, 2x2 + 7x + 6 = 0.

⇒ 2x2 + 4x + 3x + 6 = 0

⇒ 2x(x + 2) + 3(x + 2) = 0

⇒ (2x + 3)(x + 2) = 0

⇒ 2x + 3 = 0 or x + 2 = 0

⇒ 2x = -3 or x = -2

⇒ x = −32-\dfrac{3}{2} or x = -2.

Hence, roots of the given equations are −32-\dfrac{3}{2}, -2.

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