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If x^2+(1/x^2)=4, x^4+(1/x^4)=? A. 10 B. 11 C. 12 D. 14

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If x^2+(1/x^2)=4, x^4+(1/x^4)=? A. 10 B. 11 C. 12 D. 14

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If x^2+(1/x^2)=4, x^4+(1/x^4)=?

A. 10
B. 11
C. 12
D. 14
E. 15


* A solution will be posted in two days.

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Post
If x^2+(1/x^2)=4, x^4+(1/x^4)=?

A. 10
B. 11
C. 12
D. 14
E. 15


-> x^4+(1/x^4)=(x^2)^2+(1/x^2)^2=(x^2+1/x^2)^2-2x^2(1/x^2)=4^2-2=14.
Thus, the answer is D.

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Free Resources-30 day online access & Diagnostic Test
Unlimited Access to over 120 free video lessons-try it yourself
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