The table shows some values for $$$y=2 x^{3}-4 x^{2}+3$$$. The equation $$$2 x^{3}-4 x^{2}+3=k$$$ has only one solution for $$$-1 \leqslant x \leqslant 2$$$. Write down a possible integer value of $$$k$$$. .............................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：0580_m20_qp_42 Year：2020 Question No：2(a)(iv)

Answer:

$-3$ or $-2$ or $-1$ or 0

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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The table shows some values for $$\(y=2 x^{3}-4 x^{2}+3\)$$. The equation $$\(2 x^{3}-4 x^{2}+3=k\)$$ has only one solution for $$\(-1 \leqslant x \leqslant 2\)$$. Write down a possible integer value of $$\(k\)$$. .............................................

Answer:

Knowledge points:

Solution:

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