Find the solution of x in (x^2 - 14x+49)/(x^2-49) = 3/17
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Answered by
5
Answer:
Step-by-step explanation:
(x^2 - 14x+49)/(x^2-49) = 3/17
( x^2 -7x - 7x + 49) / (x-7)(x+7) = 3/17
( x-7)(x-7)/ (x-7)(x+7) = 3/17
( x-7)/ (x+7) = 3/17
cross multiply terms
17 (x-7) = 3 (x+7)
17x - 119 = 3x + 21
14x = 21 +119
14x = 140
x = 140/14
x = 10
janhavi5350:
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How did you do the first bit?
Answered by
1
(x^2 - 14x+49)/(x^2-49) = 3/17
( x^2 -7x - 7x + 49) / (x-7)(x+7) = 3/17
( x-7)(x-7)/ (x-7)(x+7) = 3/17
( x-7)/ (x+7) = 3/17
cross multiplicate terms
17 (x-7) = 3 (x+7)
17x - 119 = 3x + 21
14x = 21 +119
14x = 140
x = 140/14
x = 10
( x^2 -7x - 7x + 49) / (x-7)(x+7) = 3/17
( x-7)(x-7)/ (x-7)(x+7) = 3/17
( x-7)/ (x+7) = 3/17
cross multiplicate terms
17 (x-7) = 3 (x+7)
17x - 119 = 3x + 21
14x = 21 +119
14x = 140
x = 140/14
x = 10
What did you do in the firat bit?
what? tell me clearly
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