Question

Difference between a number and its positive square root is 12. Find the number

Answer 1

1. Question⇒  Difference between a number and its positive square root is 12. Find the number.

Step-by-step explanation:

• Let the number be 'x'.
• ATQ
• x - √x =12     eq(1)
• x - 12 = √x
• square both sides
• (x - 12)² = x
• x² - 24x + 144 = x
• x² - 25x + 144 = 0
• x² -16x - 9x +144 = 0
• x(x-16) -9(x-16) = 0
• (x-9)(x-16)=0
• x= 9,16
• by putting x = 9 in eq 1 we see that only its negative root i.e -3 satisfies.
• so 9 cannot be the ans.
• 9 -√9 = 9 - 3=6 ≠12
• 16 - √16 =12
• So,correct ans is 16

Answer 2

Step-by-step explanation:

let assume a number is 'x'

and it's positive square root is √x

Given that x-√x = 12

let put the randum number is 4

4-√4 = 0

0 is not equal to 12

let put 16 16-√16=12

16-4 = 12.