Math, asked by jgzg7947, 1 year ago

if m-1/m=5 find :- m²-1/m²

Answers

Answered by mysticd
19
Hi ,

m - 1/m = 5 ----( 1 )



( m + 1/ m )² = ( m - 1/m )² + 4

= 5² + 4

= 29

m + 1/m = ± √29 -----( 2 )

multiply ( 1 ) and ( 2 ), we get

( m - 1/ m ) ( m + 1/m ) = 5 × ( ±29 )

m² - 1/m² = ± 145

I hope this helps you.

:)
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