Question no 9 (2), prove that 5^28............=31/145. See pic please.
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2)
= LHS
= 5^28 + 5^27 + 5^26/5^29 + 5^28 - 5^27
= 5^26(5²+5¹+1)/5^27(5²+5¹-1)
= 5^26(25+5+1)/5^27(25+5-1)
= 5^26(31)/5^27(29)
= 5^26-27 × 31/29
= 5^-1×31/29
= 1×31/29×5
= 31/145
LHS = RHS
= LHS
= 5^28 + 5^27 + 5^26/5^29 + 5^28 - 5^27
= 5^26(5²+5¹+1)/5^27(5²+5¹-1)
= 5^26(25+5+1)/5^27(25+5-1)
= 5^26(31)/5^27(29)
= 5^26-27 × 31/29
= 5^-1×31/29
= 1×31/29×5
= 31/145
LHS = RHS
kartikprajapat:
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