Thrice the square

Question

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

he number is

Options:

A . 4

B . 5

C . 6

D . 10

Answer: Option B

Let the number be `x`

Then `3x^2` - `4x` = `x` + 50 `hArr` `3x^2` - `5x` - 50 = 0 `hArr` `(3x + 10 ) (x - 5)` = 0 `hArr` `x` = 5.

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