Question

4. Square of a natural number is 22 more than the 9 times of
that number. Find that natural number.​

Answer 1

Answer:

Let the natural number be x.

Then, by the question,

x² = 9x+22

or, x² - 9x - 22 = 0

or, x² - (11-2)x -22 = 0

or, x² - 11x +2x -22 = 0

or, x(x-11) +2(x-11) = 0

or, (x-11)(x+2) = 0

i.e. x=11 or -2

Since x is a natural number, 11 is the correct solution.

Step-by-step explanation: