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When 18 is subtracted from the square of a number, the result is 3 times the number. Find the negative solution.

2 Answers

7 votes

Answer:-3

Explanation:

User Malmed
by
5.7k points
5 votes

Answer: x = -3

Explanation:

Let the number be x , that is the square of x is
x^(2).

From the first statement :


x^(2) - 18 = 3x

writing the equation in a standard quadratic format , we have


x^(2) - 3x - 18 = 0

Factorizing , we have

(x - 6 )(x + 3 ) = 0

x - 6 = 0 or x + 3 = 0

Therefore :

x = 6 or x = -3

Therefore , the negative solution implies x = -3

User Cremor
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5.0k points