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  • 24-06-2019
  • Mathematics
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How many real and imaginary solutions does the equation X^2+x=11 contains?

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znk
znk znk
  • 24-06-2019

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.

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