Question

If a positive number exceeds its positive square root by 12, then find the number

Answer 1

16..

Answer 2

If a positive number exceeds its positive square root by 12, then find the number.

Answer 3

Let the positive number be x 
according to question 
√x + 12 = x 
⇒√x= x - 12
squaring both sides
⇒x= x² - 24x +144
⇒x² - 25x + 144 = 0 
⇒x² - 16x - 9x +144=0
⇒x(x - 16) - 9(x - 16)=0
⇒(x - 9)(x - 16)=0
so the number is 9,16