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

Question

Adeline Watts

Mathematics

11 August, 09:07

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

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Answers (1)

Know the Answer?

Tanner Fischer · Answer 1

Answer:x=9

Step-by-step explanation:

To find the positive solution for this, then we will say;

Let the number be x

3x
x^2-3x-54<0

Then we are going to factorise

x^2-9x+6x-54=0

(x^2-9x) + (6x-54) = 0

x (x-9) + 6 (x-9) = 0

(x+6) (x-9) = 0

Therefore, The positive solution for this is: x=9