If 3 times a number is subtracted from the square of the number the result is 30. Find the number

1 answer

Let the number be x.
The square of the number is x^2.
Three times the number is 3*x.
According to the given information, the equation can be written as:
x^2 - 3x = 30

Rearranging the equation:
x^2 - 3x - 30 = 0

Factoring the quadratic equation:
(x - 6)(x + 5) = 0

Setting each factor equal to zero and solving for x:
x - 6 = 0 or x + 5 = 0

x = 6 or x = -5

Therefore, the number can be either 6 or -5.