Question

3 times a number is 54 less than the square of that number. Find the positive solution

Answer 1

3x = x^2 - 54

Subtract 3x.

x^2 - 3x - 54

Factor.

(x - 9) (x + 6)

Solve.

x - 9 = 0

Add 9.

x = 9

Solve.

x + 6 = 0

Subtract 6.

x = -6

Positive solution -
x = 9