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

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

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

5
4
7
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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