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If x=3+root 8 find the value of x^2+ 1/x^2?
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If x=3+root 8 find the value of x^2+ 1/x^2?
- First, let's find the value of x^2:
x^2 = (3 + √8)^2
= (3 + √8)(3 + √8)
= 3(3) + 3(√8) + √8(3) + √8(√8)
= 9 + 3√8 + 3√8 + 8
= 17 + 6√8
- Next, let's find the value of 1/x^2:
1/x^2 = 1/(17 + 6√8)
= (17 - 6√8)/(17^2 - (6√8)^2)
= (17 - 6√8)/(289 - 288)
= (17 - 6√8)/1
= 17 - 6√8
- Now, let's find the value of x^2 + 1/x^2:
x^2 + 1/x^2 = 17 + 6√8 + 17 - 6√8
= 34
Therefore, the value of x^2 + 1/x^2 is 34.
x^2 = (3 + √8)^2
= (3 + √8)(3 + √8)
= 3(3) + 3(√8) + √8(3) + √8(√8)
= 9 + 3√8 + 3√8 + 8
= 17 + 6√8
- Next, let's find the value of 1/x^2:
1/x^2 = 1/(17 + 6√8)
= (17 - 6√8)/(17^2 - (6√8)^2)
= (17 - 6√8)/(289 - 288)
= (17 - 6√8)/1
= 17 - 6√8
- Now, let's find the value of x^2 + 1/x^2:
x^2 + 1/x^2 = 17 + 6√8 + 17 - 6√8
= 34
Therefore, the value of x^2 + 1/x^2 is 34.
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If x=3+root 8 find the value of x^2+ 1/x^2?
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If x=3+root 8 find the value of x^2+ 1/x^2? 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 If x=3+root 8 find the value of x^2+ 1/x^2? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x=3+root 8 find the value of x^2+ 1/x^2?.
If x=3+root 8 find the value of x^2+ 1/x^2? 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 If x=3+root 8 find the value of x^2+ 1/x^2? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x=3+root 8 find the value of x^2+ 1/x^2?.
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