if a square + 1 upon a square is equal to 47 find a cube + 1 upon a cube
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- a² + 1/a² =47
- a³ + 1/a³
- We know that (X+y)² = x²+y²+2xy
Now
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(a + 1/a )² = a² + 1/a² +2
=>(a + 1/a )² = 47 +2
=>(a + 1/a )² = 49
=>a+ 1/a = 7
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we know the formula of a³+b³
- a³+b³= (a² + 1/a² + a × 1/a ) (a + 1/a)
¶utting values
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a³+b³= (47 +1) (7)
=>a³+b³= (48) (7)
=>a³+b³= (336)
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Hence value of a³+b³ is (336)
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Answer:
anwer is 7 and 332
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