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If x is equal to under root 3 + 1 root 2 minus under root 3 minus under root 2 is equal to under root 3 minus 1 root 2 upon under root 3 + 1 root 2 find the value of a square x squared plus y squared
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If x is equal to under root 3 + 1 root 2 minus under root 3 minus unde...
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If x is equal to under root 3 + 1 root 2 minus under root 3 minus unde...
Given:
x = √3 - √2
y = √3 + √2
We need to find the value of a²x² + y².
Solution:
Step 1: Calculate x² and y² individually
To find x², we square the expression x = √3 - √2:
x² = (√3 - √2)²
= (√3)² - 2(√3)(√2) + (√2)²
= 3 - 2√6 + 2
= 5 - 2√6
To find y², we square the expression y = √3 + √2:
y² = (√3 + √2)²
= (√3)² + 2(√3)(√2) + (√2)²
= 3 + 2√6 + 2
= 5 + 2√6
Step 2: Calculate a²x² + y²
Substituting the values of x² and y² into the expression a²x² + y², we get:
a²x² + y² = a²(5 - 2√6) + (5 + 2√6)
= 5a² - 2a²√6 + 5 + 2√6
Therefore, the value of a²x² + y² is 5a² - 2a²√6 + 5 + 2√6.
Conclusion:
The value of a²x² + y² is 5a² - 2a²√6 + 5 + 2√6.
x = √3 - √2
y = √3 + √2
We need to find the value of a²x² + y².
Solution:
Step 1: Calculate x² and y² individually
To find x², we square the expression x = √3 - √2:
x² = (√3 - √2)²
= (√3)² - 2(√3)(√2) + (√2)²
= 3 - 2√6 + 2
= 5 - 2√6
To find y², we square the expression y = √3 + √2:
y² = (√3 + √2)²
= (√3)² + 2(√3)(√2) + (√2)²
= 3 + 2√6 + 2
= 5 + 2√6
Step 2: Calculate a²x² + y²
Substituting the values of x² and y² into the expression a²x² + y², we get:
a²x² + y² = a²(5 - 2√6) + (5 + 2√6)
= 5a² - 2a²√6 + 5 + 2√6
Therefore, the value of a²x² + y² is 5a² - 2a²√6 + 5 + 2√6.
Conclusion:
The value of a²x² + y² is 5a² - 2a²√6 + 5 + 2√6.
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If x is equal to under root 3 + 1 root 2 minus under root 3 minus under root 2 is equal to under root 3 minus 1 root 2 upon under root 3 + 1 root 2 find the value of a square x squared plus y squared 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 is equal to under root 3 + 1 root 2 minus under root 3 minus under root 2 is equal to under root 3 minus 1 root 2 upon under root 3 + 1 root 2 find the value of a square x squared plus y squared covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x is equal to under root 3 + 1 root 2 minus under root 3 minus under root 2 is equal to under root 3 minus 1 root 2 upon under root 3 + 1 root 2 find the value of a square x squared plus y squared.
If x is equal to under root 3 + 1 root 2 minus under root 3 minus under root 2 is equal to under root 3 minus 1 root 2 upon under root 3 + 1 root 2 find the value of a square x squared plus y squared 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 is equal to under root 3 + 1 root 2 minus under root 3 minus under root 2 is equal to under root 3 minus 1 root 2 upon under root 3 + 1 root 2 find the value of a square x squared plus y squared covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x is equal to under root 3 + 1 root 2 minus under root 3 minus under root 2 is equal to under root 3 minus 1 root 2 upon under root 3 + 1 root 2 find the value of a square x squared plus y squared.
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