Rd sharma solution

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(X+3)/(X-2) – (1-X)/X = 17/4

(X+3)/(X-2) – (1-X)/X = 17/4

Or, x(x+3) – (1-x)(x-2)/x(x-2) = 17/4

Or, (x^2 + 3x – (x – 2 – x^2 + 2x) )/x^2 – 2x = 17/4

Or, (2x^2 + 2) / (x^2 – 2x) = 17/4

Or, 8x^2 + 8 = 17x^2 – 34x

Or, 9x^2 – 34x – 8 = 0

Or, 9x^2 – 36x + 2x – 8 = 0

Or, 9x(x-4)+2(x-4)= 0

Or, (x-4) (9x+2)= 0

Or, x = 4, x = -9/2

 

21st February 2019

vitorr maths

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X/(x+1) + (x+1)/x = 34/15

x/(x+1) + (x+1)/x = 34/15

x^2 + (x+1)^2/x(x+1) = 34/15

x^2 + x^2 + 2x + 1/x^2 + x = 34/15

34x^2 + 34x = 15x^2 + 15x^2 + 30x + 15

4x^2 + 10x -6x – 15 = 0

2x(2x+5) – 3(2x+5) = 0

(2x + 5 )(2x - 3)= 0

X = 3/2 0r, x = -5/2



21st February 2019

vitorr maths

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