Question

The sum of a number and its square is 110. Find the number. I'll give you a medal :D

Answer 1

10

Answer 2

I know the answer but I need the steps... ;)

Answer 3

Simple x^2 = 100 + 10 = 110. Do you want the algebra?

Answer 4

Yes, please :)

Answer 5

Seriously? We're just guessing and lucky because this one is ralatively obviouss.

Rule #1 - Name Things!

N - The Number We Seek

The sum of a number and its square

\(N + N^{2}\)

You need to see that translation

is 110

\(N + N^{2} = 110\)

Solve the quadratic equation. There are TWO solutions.

Answer 6

It's also -11

Answer 7

Thank you very much :D

Answer 8

(x-10)(x+11) = 0

Answer 9

Then x -10 is 10
x + 11 is -11