Math, asked by yashovardhansingh10, 10 months ago

if a square + 1 upon a square is equal to 47 find a cube + 1 upon a cube​

Answers

Answered by Abhishek474241
12

AnSwEr

{\tt{\red{\underline{\large{Given}}}}}

  • a² + 1/a² =47

{\sf{\green{\underline{\large{To\:find}}}}}

  • a³ + 1/a³

{\sf{\pink{\underline{\Large{Explanation}}}}}

  • We know that (X+y)² = x²+y²+2xy

Now

______________________________

(a + 1/a )² = a² + 1/a² +2

=>(a + 1/a )² = 47 +2

=>(a + 1/a )² = 49

=>a+ 1/a = 7

______________________________

we know the formula of a³+b³

  • a³+b³= (a² + 1/a² + a × 1/a ) (a + 1/a)

utting values

______________________________

a³+b³= (47 +1) (7)

=>a³+b³= (48) (7)

=>a³+b³= (336)

______________________________

Hence value of a³+b³ is (336)

Answered by jboss30
8

Answer:

anwer is 7 and 332

are u in class 9th

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