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X + 1 by x is equal to 7 find the value of x cube + 1 by x cube

Posted by Kanhaiya Singh 5 years, 9 months ago

CBSE > Class 07 > Mathematics

1 answers

Gaurav Seth 5 years, 9 months ago

Since
x+1/x=7,

then

(x+1/x)²=x²+1/x²+2,

(7)²=x²+1/x²+2,

49-2=x²+1/x²,

then

x²+1/x²=47,

hence

(x³+1/x³)=(x+1/x)(x²+1/x²-1),

(x³+1/x³)=(7)×(47-1),

(x³+1/x³)=7×46=322

1Thank You

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Posted by Shree Vanshika Reddy Reddy 3 months ago

CBSE > Class 07 > Mathematics