if x+1/x=6 then show that x^2+1/x^2=34 and x^4+1/x^4 = 1154
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achaldoshi23
achaldoshi23
22.03.2018
Math
Secondary School
+5 pts
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If x + 1/x = 6 then find the value of x^4 + (1/x)^4
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shivam749
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x+1/x=6
Xsq. + 1/xsq. +2*x*1/x. = 6square
Xsq +1/xsq. = 36-2
Xsq + 1/xsq =34
again squaring both side...
x power 4 + 1/x power 4 = 34sq. -2
have ur answer is
1156-2=1154.......
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shivam749 avatar
make my comment brainliest....
achaldoshi23 avatar
Edit your answer and write it as well 1154 not 1153
achaldoshi23 avatar
Sorry 1152 not 1153
shivam749 avatar
OK thnx
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boffeemadrid
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Answer:
Step-by-step explanation:
It is given that , then squaring on both the sdies, and using the identity , we get
⇒
⇒
⇒
Now, again squaring on both the sides, we get
⇒
⇒
which is the required value