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

User Fernando Carvajal
by
5.3k points

1 Answer

11 votes
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
User Avra
by
4.3k points
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