Question

the sum of a number and its square 240 find the number

Answer 1

240 may be the correct answer

Answer 2

The required number is 15.

Step-by-step explanation:

Let the required number = x

To find, the value of number = ?

According to the given condition,

$x+x^{2}=240$

⇒ $x^{2}+x=240$

⇒ $x^{2}+x-240=0$

Solving by factorisation method,

$x^{2}+16x-15x-240=0$

⇒ x(x + 16) -15(x + 16) = 0

⇒ (x - 15)(x + 16) = 0

⇒ x - 15 = 0 or x + 16 = 0

⇒ x = 15 or, x = - 16 [ negative value is neglected]

∴ x = 15

Hence, the required number is 15.