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X equals to 7 4 root 3 and xy = 1 then find the value of 1/x square 1 upon y square?
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X equals to 7 4 root 3 and xy = 1 then find the value of 1/x square ...
Solution:
Given that X = 7 + 4√3 and XY = 1.
We have to find the value of 1/X^2 and 1/Y^2.
Step 1: Find the value of Y.
XY = 1
Y = 1/X
Y = 1/(7 + 4√3)
Step 2: Find the value of X^2.
X^2 = (7 + 4√3)^2
X^2 = 49 + 56√3 + 48
X^2 = 97 + 56√3
Step 3: Find the value of Y^2.
Y^2 = (1/X)^2
Y^2 = 1/(7 + 4√3)^2
Y^2 = 1/(49 + 56√3 + 48)
Y^2 = 1/(97 + 56√3)
Step 4: Find the value of 1/X^2 and 1/Y^2.
1/X^2 = 1/(97 + 56√3)
1/Y^2 = 97 + 56√3
Therefore, the value of 1/X^2 is 1/(97 + 56√3) and the value of 1/Y^2 is 97 + 56√3.
Explanation:
We are given X and XY. From XY, we can find the value of Y. Using X and Y, we can find the value of X^2 and Y^2. Finally, we can find the value of 1/X^2 and 1/Y^2.
Given that X = 7 + 4√3 and XY = 1.
We have to find the value of 1/X^2 and 1/Y^2.
Step 1: Find the value of Y.
XY = 1
Y = 1/X
Y = 1/(7 + 4√3)
Step 2: Find the value of X^2.
X^2 = (7 + 4√3)^2
X^2 = 49 + 56√3 + 48
X^2 = 97 + 56√3
Step 3: Find the value of Y^2.
Y^2 = (1/X)^2
Y^2 = 1/(7 + 4√3)^2
Y^2 = 1/(49 + 56√3 + 48)
Y^2 = 1/(97 + 56√3)
Step 4: Find the value of 1/X^2 and 1/Y^2.
1/X^2 = 1/(97 + 56√3)
1/Y^2 = 97 + 56√3
Therefore, the value of 1/X^2 is 1/(97 + 56√3) and the value of 1/Y^2 is 97 + 56√3.
Explanation:
We are given X and XY. From XY, we can find the value of Y. Using X and Y, we can find the value of X^2 and Y^2. Finally, we can find the value of 1/X^2 and 1/Y^2.
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X equals to 7 4 root 3 and xy = 1 then find the value of 1/x square 1 upon y square?
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X equals to 7 4 root 3 and xy = 1 then find the value of 1/x square 1 upon y square? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about X equals to 7 4 root 3 and xy = 1 then find the value of 1/x square 1 upon y square? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X equals to 7 4 root 3 and xy = 1 then find the value of 1/x square 1 upon y square?.
X equals to 7 4 root 3 and xy = 1 then find the value of 1/x square 1 upon y square? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about X equals to 7 4 root 3 and xy = 1 then find the value of 1/x square 1 upon y square? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X equals to 7 4 root 3 and xy = 1 then find the value of 1/x square 1 upon y square?.
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