Question

What is the number of real solutions?
–11x2 = x + 11

cannot be determined
one solution
two solutions
no real solutions

Answer 1

I think it is cannot be determined... but I want someone to check my answer.

Answer 2

rewrite:
\[11x^2+x+11=0\]

a = 11, b = 1, c = 11

\[b^2-4ac= 1-4(11)(11) <0 \Rightarrow \text{complex zeros}\]

Answer 3

So there are zero solutions?

Answer 4

no. have a look...
http://www.mathwarehouse.com/quadratic/discriminant-in-quadratic-equation.php

Answer 5

There are two real solutions!

Answer 6

nope

Answer 7

Negative Discriminant

b² − 4ac < 0 No Real Solutions
Two Imaginary Solutions

Answer 8

there you go!

Answer 9

So there are no real solutions?

Answer 10

yep