Question

GOOD MORNING PLZ CAN ANYONE SOLVE THESE QUESTIONS I NEED HELP IN THEM PLZ SOMEONE SOLVE ALL THESE 5 QUESTION ON A PAPER

Answer 1

Hey Friend ☺

Q.1

2x/( x^2 - 16 ) - 3/( x - 4 ) = 5/( x + 4 )

》2x/( x^2 - 16 ) - 3( x + 4 )/( x - 4 )( x + 4 ) = 5 ( x - 4 )/( x + 4 )( x - 4 )

》2x - ( 3x + 12 )/ ( x^2 - 16 ) = 5x - 20/x^2 - 16

》2x - 3x - 12/ ( x^2 - 16 ) = 5x - 20/(x^2 - 16)

》- x - 12 /( x^2 - 16 ) = 5x - 20 / ( x^2 - 16 )

Multiplying by x^2 - 16 on both sides will eliminate denominator

So

》- x - 12 = 5x - 20

》- 12 + 20 = 5x + x

》8 = 6x

》x = 8/6

》x = 4/3

Q.2

2x - ( x + 5x - 4 / 7 ) = 4x + 7/3

》2x - ( 7x + 5x - 4/7 ) = 4x + 7/3

》2x - 12x + 4/7 = 4x + 7/3

》14x - 12x + 4/7 = 4x + 7/3

》2x + 4/7 = 4x + 7/3

By cross multiplying

》( 2x + 4 ) × 3 = ( 4x + 7 ) × 7

》6x + 12 = 28x + 49

》- 49 + 12 = 28x + 6x

》- 37 = 34x

》x = - 37/34

Q.3

1.25 + 9.75/x = 4.5

Multiplying both the sides by x we get

1.25x + 9.75 = 4.5x

》4.5x - 1.25x = 9.75

》3.25x = 9.75

》x = 9.75/3.25

》x = 3

Q.4

( 2x - 3 )/( 3x + 4 ) = ( 2x - 3 )/ ( 3x - 2 )

》( 2x - 3 )( 3x - 2 ) = ( 2x - 3 )( 3x + 4 )

》6x^2 - 13x + 6 = 6x^2 - x - 12

》- 13x + 6 = - x - 12

》- x + 13x = 12 + 6

》12x = 18

》x = 18/12

》x = 3/2

Q.5

5/( x + 2 ) - 3/( x - 2 ) = 2/x

》5 ( x - 2 ) - 3 ( x + 2 )/ ( x+ 2 )( x - 2 ) = 2/x

》5x - 10 - 3x - 6/x^2 - 4 = 2/x

》2x - 16/x^2 - 4 = 2/x

Crosse multiplying we get

》( 2x - 16 )x = ( x^2 - 4 ) × 2

》2x^2 - 16x = 2x^2 - 8

》 - 16x = - 8

》x = - 8/ - 16

》x = 1/2

Hope it helps you ..!!

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