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Question 1 of 5: Solve each Equation
$$5x^4-3x^2-250=128$$ $$5x^4-3x^2-250$$$$=128$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$x=\pm\hspace{.25em}7,\frac{\pm\hspace{.25em}\sqrt{65}}{2}$$ $$x=\pm\hspace{.25em}7,$$$$\frac{\pm\hspace{.25em}\sqrt{65}}{2}$$
B
$$x=\pm\hspace{.25em}2,\pm \hspace{.25em}i\sqrt{5}$$ $$x=\pm\hspace{.25em}2,$$$$\pm \hspace{.25em}i\sqrt{5}$$
C
$$x=\pm\hspace{.25em}1,\frac{5 \pm\hspace{.25em}2i\sqrt{65}}{5}$$ $$x=\pm\hspace{.25em}1,$$$$\frac{5 \pm\hspace{.25em}2i\sqrt{65}}{5}$$
D
$$x=\pm\hspace{.25em}3,\frac{\pm\hspace{.25em}i\sqrt{210}}{5}$$ $$x=\pm\hspace{.25em}3,$$$$\frac{\pm\hspace{.25em}i\sqrt{210}}{5}$$
E
$$x=\pm\hspace{.25em}11$$
Question 2 of 5: Solve each Equation
$$(2x^2-3)^2-(2x^2-3)-2=0$$ $$(2x^2-3)^2\hspace{.25em}-$$$$(2x^2-3)-2=0$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$x=\pm\hspace{.25em}5,\frac{4 \pm \sqrt{10}}{2}$$ $$x=\pm\hspace{.25em}5,$$$$\frac{4 \pm \sqrt{10}}{2}$$
B
$$x=\pm\hspace{.25em}1,\frac{\pm \hspace{.25em}\sqrt{10}}{2}$$ $$x=\pm\hspace{.25em}1,$$$$\frac{\pm \hspace{.25em}\sqrt{10}}{2}$$
C
$$x=\pm\hspace{.25em}\frac{3}{5},\frac{3 \pm \sqrt{6}}{5}$$ $$x=\pm\hspace{.25em}\frac{3}{5},$$$$\frac{3 \pm \sqrt{6}}{5}$$
D
$$x=\pm\hspace{.25em}12,\frac{\pm \hspace{.25em}i\sqrt{5}}{2}$$ $$x=\pm\hspace{.25em}12,$$$$\frac{\pm \hspace{.25em}i\sqrt{5}}{2}$$
E
$$x=\pm\hspace{.25em}11,\frac{\pm \hspace{.25em}i\sqrt{6}}{5}$$ $$x=\pm\hspace{.25em}11,$$$$\frac{\pm \hspace{.25em}i\sqrt{6}}{5}$$
Question 3 of 5: Solve each Equation
$$2x^\frac{2}{3}-11x^\frac{1}{3}+12=0$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$x=-27,8$$
B
$$x=-2,15$$
C
$$x=\pm \hspace{.25em}1,\pm \hspace{.25em}\sqrt{5}$$
D
$$x=-4,19$$
E
$$x=64,\frac{27}{8}$$
Question 4 of 5: Solve each Equation
$$5x^4+7x^2=-2$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$x=\frac{\pm \hspace{.25em}3i\sqrt{5}}{2},\pm \hspace{.25em}3i$$ $$x=\frac{\pm \hspace{.25em}3i\sqrt{5}}{2},$$$$\pm \hspace{.25em}3i$$
B
$$x=\frac{\pm \hspace{.25em}5i\sqrt{5}}{2},\pm \hspace{.25em}6i$$ $$x=\frac{\pm \hspace{.25em}5i\sqrt{5}}{2},$$$$\pm \hspace{.25em}6i$$
C
$$x=2 \pm \sqrt{5}$$
D
$$x=\frac{\pm \hspace{.25em}i\sqrt{10}}{5},\pm \hspace{.25em}i$$ $$x=\frac{\pm \hspace{.25em}i\sqrt{10}}{5},$$$$\pm \hspace{.25em}i$$
E
$$x=-7 \pm\sqrt{65}$$
Question 5 of 5: Solve each Equation
$$3x^4-16x^2=-16$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$x=\pm\hspace{.25em}2,\frac{\pm\hspace{.25em}2 \sqrt{3}}{3}$$ $$x=\pm\hspace{.25em}2,$$$$\frac{\pm\hspace{.25em}2 \sqrt{3}}{3}$$
B
$$x=\pm\hspace{.25em}8,\frac{\pm \hspace{.25em}3 \sqrt{65}}{13}$$ $$x=\pm\hspace{.25em}8,$$$$\frac{\pm \hspace{.25em}3 \sqrt{65}}{13}$$
C
$$x=\pm\hspace{.25em}2i,\frac{\pm \hspace{.25em}5i \sqrt{65}}{3}$$ $$x=\pm\hspace{.25em}2i,$$$$\frac{\pm \hspace{.25em}5i \sqrt{65}}{3}$$
D
$$x=\pm \hspace{.25em}5i$$
E
$$x=\pm \hspace{.25em}7i$$

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