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Thrice the Square of a Natural Number Decreased by 4 Times the Number is Equal to 50 more than the Number. The Number is?

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Explanation

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

The number can be figure out in this way.

Let suppose the number is y.

Thrice the square of “y” decreased by 4y

3y2 – 4y

3y2 – 4y is equal to 50 more than the number

3y2 – 4y = y + 50 ________ (i)

Through equation (i) we can easily find out the value of y (y = 5).

To Find

Number = ?

Solution

Let suppose

Number = y

According to the given condition

3y2 – 4y = y + 50

3y2 – 4y – y – 50 = 0

3y2 – 5y – 50 = 0

3y2 – 15y + 10y – 50 = 0

3y(y – 5) + 10(y – 5) = 0

(3y + 10)(y – 5) = 0

3y + 10 = 0                   &                y – 5 = 0

y = -10/3 (not possible)                 &                y = 5 (possible)

Required Number = 5 answer

Conclusion

Thrice the square of a natural number decreased by 4 times, the number is equal to 50 more than the number. The number is 5.

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