please solve the question no. 8,9 &11
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Answer:
answer is 1π.13is is seen in NCERT book of 12
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9) 2x^-1 + x^-1/2 = 6
2/x + 1/√x = 6
2+ √x = 6x
6x - √x -2 = 0
6x - 4√x+ 3√x - 2= 0
2√x( 3√x - 2) + (3√x-2)= 0
2√x+1)( 3√x-2)= 0
2√x = -1 ( which is not possible as both 2 and√x is positive)
3√x= 2
√x= 2/3
x= 4/9
11) √x/( 1- x). + √(1-x)/x = 13/6
x+ 1- x)/ √(x)(1- x). = 13/6
1/√x(1-x). = 13/6
1/x(1- x) = 169/36
36/169 = x( 1- x)
36/169 = x- x^2
36/169 + x^2 - x= 0
169 x^2 - 169 x +36 = 0
169 x^2 -117x -52 x +36= 0
13x( 13x -9) -4( 13x - 9) = 0
( 13x -4)( 13x-9)= 0
x= 4/13, 9/13
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