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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