Question

the sum of a positive integer and its square is 2450. the positive integer is
A) 48. B) 49
C) 51. C) 53​
THIS QUESTION IS OF REASONING ..

Answer 1

Step-by-step explanation:

(c) 51 is correct option

Answer 2

The required "option B) 49" is correct.

Step-by-step explanation:

Let the positive integer = x

Given,

The sum of a positive integer and its square = 2450

To find, the value of positive integer = ?

According to question,

∴ x + $x^{2}$ = 2450

⇒ $x^{2}$  + x - 2450 = 0

By factorisation method,

⇒ $x^{2}$  + 50x - 49x - 2450 = 0

⇒ x(x + 50) - 49(x + 50) = 0

⇒ (x + 50)(x - 49) = 0

⇒ x + 50 = 0 or, x - 49 = 0

⇒ x + 50 = 0 ⇒ x = - 50 ( - 50 is not a positive integer)

⇒ x - 49 = 0

⇒ x = 49

∴ The positive integer = 49

Thus, the required "option B) 49" is correct.