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Hey!
I have another doubt on this question:
[tex] \bf \: if \: x = \frac{1}{x - 5} \: where \: x \cancel{ = }5. \: find \: the \: value \: of \: (x - \frac{1}{x} )[/tex]
Hey!
I have another doubt on this question:
[tex] \bf \: if \: x = \frac{1}{x - 5} \: where \: x \cancel{ = }5. \: find \: the \: value \: of \: (x - \frac{1}{x} )[/tex]
Answers & Comments
Step-by-step explanation:
Given that,
x = 1/(x-5)
Cross Multiply,
x²-5x=1
x²-5x-1=0
Here,
a = 1, b = -5, c = -1
Discriminant
= b²-4ac
= 25 - 4 × -1
= 29
x = {-b ± √(b²-4ac)}÷2a
= {5 ± √29}÷2
Hence x = {5 + √29}÷2, {5 - √29}÷2
Further simplifications can be done by using the value of √29, but it becomes so complicated... So it is better to stop here...
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