Question

if X square + 1 by 25 x square equal to 8 whole 3 by 5 find the value of x cube + 1 by 125 x cube​

Answer 1

Let : x² + ( 1/ 25x² ) = 43/5 ...... (1) 

∴ x² + ( 1/ 25x² ) + (2/5) = (43/5) + (2/5) 

∴ ( x + 1/ 5x )² = 9 

∴ x + ( 1/ 5x ) = ± 3 ................. (2) 

∴ from (1) and (2), 

... x³ + ( 1/ 125x³) 

= x³ + ( 1/ 5x )³ 

= ( x + 1/ 5x ) [ ( x² + 1/ 25x² ) - (x)(1/ 5x) ] 

= ( ± 3 ) [ ( 43/5 ) - ( 1/5 ) ] 

= ( ± 3 )( 42/5 ) 

= ± 126/5 

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Answer 2

Answer:

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