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

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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. 5
B. 4
C. 7
D. 6

Correct Answer

5

Explanation

Let the number be x. Then,

$3 x^{2}$ - 4x = x + 50

$3 x^{2}$ - 5x - 50 = 0

(3x + 10)(x - 5) = 0

x = 5

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