$$\[ y=x^{2}+\frac{1}{x}, x \neq 0 \]$$ $$\(k\)$$ is an integer and the equation $$\(x^{2}+\frac{1}{x}=k\)$$ has three solutions. Write down a possible value of $$\(k\)$$. $$\[ k= ............................................ \]$$

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_w20_qp_42 Year:2020 Question No:7(d)

Answer:

Any integer \(\geq 2\)

Knowledge points:

E2.11.2 Solve associated equations approximately, including finding and interpreting roots by graphical methods. (Find turning points of quadratics by completing the square.)

Solution:

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