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If x+y = 9 and xy=14 find the value of x^2-y^2
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If x+y = 9 and xy=14 find the value of x^2-y^2
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If x+y = 9 and xy=14 find the value of x^2-y^2
Given: xy = 9, xy = 14
To find: x^2 - y^2
Solution:
We can use the given values to find the value of x and y.
From xy = 9, we can write y = 9/x
Substituting this value of y in xy = 14, we get:
x(9/x) = 14
9 = 14x
x = 9/14
Substituting this value of x in y = 9/x, we get:
y = 14/9
Now we can use the formula for the difference of squares to find x^2 - y^2:
x^2 - y^2 = (x + y)(x - y)
Substituting the values of x and y, we get:
x^2 - y^2 = (9/14 + 14/9)(9/14 - 14/9)
Simplifying this expression, we get:
x^2 - y^2 = (-83/126)
Therefore, the value of x^2 - y^2 is -83/126.
Answer: x^2 - y^2 = -83/126.
To find: x^2 - y^2
Solution:
We can use the given values to find the value of x and y.
From xy = 9, we can write y = 9/x
Substituting this value of y in xy = 14, we get:
x(9/x) = 14
9 = 14x
x = 9/14
Substituting this value of x in y = 9/x, we get:
y = 14/9
Now we can use the formula for the difference of squares to find x^2 - y^2:
x^2 - y^2 = (x + y)(x - y)
Substituting the values of x and y, we get:
x^2 - y^2 = (9/14 + 14/9)(9/14 - 14/9)
Simplifying this expression, we get:
x^2 - y^2 = (-83/126)
Therefore, the value of x^2 - y^2 is -83/126.
Answer: x^2 - y^2 = -83/126.
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If x+y = 9 and xy=14 find the value of x^2-y^2
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If x+y = 9 and xy=14 find the value of x^2-y^2 for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If x+y = 9 and xy=14 find the value of x^2-y^2 covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x+y = 9 and xy=14 find the value of x^2-y^2.
If x+y = 9 and xy=14 find the value of x^2-y^2 for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If x+y = 9 and xy=14 find the value of x^2-y^2 covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x+y = 9 and xy=14 find the value of x^2-y^2.
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