please answer the question no 4 and 6 . it's urgent the correct answer will be marked brainlist
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Answer:
Q)4 x = 11 Q)6 128/3
Step-by-step explanation:
x³ + 3x / 3x² + 1 = 341/91
by componendo & dividendo
( x³ + 3x ) + ( 3x² + 1 ) / ( x³ + 3x ) - ( 3x² + 1 ) = 341 + 91 / 341 - 91
x³ + 3x ( x + 1 ) + 1 / x³ - 3x ( x - 1 )- 1 = 432 / 250
( x + 1 )³ / ( x - 1 )³ = 432 / 250
( x + 1 ) / ( x - 1 ) = ( 216/125 )⅓
( x + 1 ) / ( x - 1 ) = 6/5
again by componendo & dividendo
( x + 1 ) + ( x - 1 ) / ( x + 1 ) - ( x - 1 ) = ( 6 + 5 ) / ( 6 - 5)
2x/ 2 = 11/1
x = 11
Q6) 5x - 11y = 2x + 5y
5x - 2x = 5y + 11y
3x = 16y
x/y = 16/3
x : y = 16 : 3
3x² + 2y² / 3x² - 2y²
by componendo & dividendo
(3x² + 2y²) + (3x² - 2y²) / (3x² + 2y²) - (3x² - 2y²)
= 6x² / 4y²
= 3/2 ( x/y )²
= 3/2 × (16/3)² ( from above )
= 3/2 × 256/9
= 128/3
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