Question discussion

A positive number exceed its positive square root by 30. Find the number

170827Medium 2 replies 976 views
0
CCommunity
Let the positive no. Be x2.

x2 - x = 30

⇒ x2 - x - 30 = 0

⇒ x2 - 6x + 5x - 30 = 0

⇒ (x - 6)(x + 5) = 0

⇒ x = 6, ? x is positive

∴ The no. is 62 = 36
0
CCommunity
x-√x =30 If we put value of X with perfect square. Then we have x= 4,9,16,25,36,49,64,81..... Perfect value of x=36 , (36-√36)=36-6=30.