6 times a number is 27 less than the square of that number. Find the positive solution.

Question

Emilie Burgess

Mathematics

25 June, 23:45

6 times a number is 27 less than the square of that number. Find the positive solution.

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Answers (1)

Know the Answer?

Hanna · Answer 1

The positive integer is 9

Step-by-step explanation:

6 times a number is 27 less than the square of that number.

Let the number be x

These interpreted means 6 nultiplies by x is 27 less than the square of that number (x^2). F

6x = 27
0 = 27<-6x+x^2

Look for 2 numbers whose product is 27 and sum is - 6

0 = 27<-9x+3x+x^2

0 = - 9 (3+x) + x (3+x)

0 = (x-9) (3+x)

x-9 = 0 3 + x = 0

x = 9 - 3 = x

The positive integer is 9