Mathematics

Solve the following equation:

x2 - 11x + 30 = 0

Quadratic Equations

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Answer

Given, x2 - 11x + 30 = 0.

⇒ x2 - 6x - 5x + 30 = 0

⇒ x(x - 6) - 5(x - 6) = 0

⇒ (x - 6)(x - 5) = 0

⇒ x - 6 = 0 or x - 5 = 0

⇒ x = 6 or x = 5.

Hence, roots of the given equations are 5, 6.

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