Answer:
Two
Step-by-step 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
[tex]x = \dfrac{1}{2} \left (-1 - 3\sqrt{5} \right )[/tex]
and
[tex]x = \dfrac{1}{2} \left (-1 + 3\sqrt{5} \right )[/tex]
The diagram below shows that the zeros are at (-3.854,0) and (2,854, 0), which are the decimal equivalents of the roots.