Thrice the square of a natural number decreased by 4 times the number is equal

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Question

Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is:

Options:

A . 4

B . 5

C . 6

D . 10

Answer: Option B

Let the number be x. Then, 3x² - 4x = x + 50 3x² - 5x - 50 = 0 (3x + 10)(x - 5) = 0 x = 5

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