Question

The sum of a number and it's square is 110, find the number ?​

Answer 1

Answer:

negative 11 and positive 10

Step-by-step explanation:

Let x be the number you are trying to find.

Then its square is x*x or x^2.

Now, X^2 + x = 110 or x^2 + x - 110 = 0

This can be factored into (x + 11) (x -10) = 0

That means x = 10 or x = -11

The sum of 10 and its square, which is 100, is 110

the sum of -11 and its square, which is 121, is also 110.

This problem has two answers negative 11 and positive 10.