if x +1/x-17/4 than find the value of x
Answers
Answered by
1
Answer:
Hello,
Step-by-step explanation:
x+1/x =17/4
Square on both sides,
(x+1/x)²=(17/4)²
x²+1/x² +2= (289/16)
x²+1/x² =289/16 -2
x² +1/x² = (289-32)/16
x² +1/x² =257/16
Now,
Subtract 2(x*1/x) from both sides,
x²+1/x² -2 =(257/16) -2
______________________
By formula (a-b)²=a²+b² -2ab
______________________
(x-1/x)² =(257-32)/16
(x-1/x)² = 225/16
(x-1/x)² =(15/4)²
x-1/x =15/4
I hope this will help you
Answered by
0
Answer:
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Step-by-step explanation:
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