Question

Sharon took an integer. If she increases the integer by 54 and then times the result by 9, she found that the result is equal to the square of the integer she took. Find the integer.​

Answer 1

Step-by-step explanation:

Let the integer she took be 'x'.

The equation formed:

= 9(x + 54) = x^2

x^2 - 9x - 486 = 0

x^2 - 27x + 18x - 486 = 0

x(x - 27) + 18(x - 27) = 0

(x + 18).(x - 27) = 0

So, the positive integer she took is 27. And the negative integer is -18.