Answer:
336
Step-by-step explanation:
x^2 + 1/x^2 = 47
then x^3+1/x^3 = (x+1/x)×(x^2 +1/x^2 +x×1/x)..........(1)
by using formula a^3+b^3=(a+b)×(a^2+b^2+a×b)
(x+1/x)^2=x^2 + 1/x^2+2×x×1/x=47+2 =49
(x+1/x)=sq root 49 = 7 ....(2)
by (1) and (2)
we get x^3+1/x^3= 7×(47+1)=7×48=336
ans 336 done
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Verified answer
Answer:
336
Step-by-step explanation:
x^2 + 1/x^2 = 47
then x^3+1/x^3 = (x+1/x)×(x^2 +1/x^2 +x×1/x)..........(1)
by using formula a^3+b^3=(a+b)×(a^2+b^2+a×b)
(x+1/x)^2=x^2 + 1/x^2+2×x×1/x=47+2 =49
(x+1/x)=sq root 49 = 7 ....(2)
by (1) and (2)
we get x^3+1/x^3= 7×(47+1)=7×48=336
ans 336 done
Answer:
Step-by-step explanation: