Question

How many real and imaginary solutions does the equation X^2+x=11 contains?

Answer 1

Two

Explanation:

x² + x = 11

The degree of a polynomial will always tell us the maximum number of solutions

You have a second degree polynomial, so there are two possible solutions.

They are

`x = (1)/(2) \left (-1 - 3√(5) \right )`

and

`x = (1)/(2) \left (-1 + 3√(5) \right )`

The diagram below shows that the zeros are at (-3.854,0) and (2,854, 0), which are the decimal equivalents of the roots.