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The sum of squares of two number is 80 and the square of difference between the two number is 36 find the product of two number. A) 11 B) 22 C)33 D)26?
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The sum of squares of two number is 80 and the square of difference be...
Two numbers x & y
Write an equation for each statement
:
"The Sum of the square of two numbers is 80"
x^2 + y^2 = 80
" and the square of their difference is 36."
(x - y)^2 = 36
Foil (x-y)(x-y)
x^2 - 2xy + y^2 = 36
Use elimination, subtract from the 1st equation
x^2 + 0xy + y^2 = 80
x^2 - 2xy + y^2 = 36
------------------------Subtraction eliminates, both x^2 and y^2
2xy = 44
Divide both sides by 2
xy = 22
:
The product of two numbers is: 22
This question is part of UPSC exam. View all Class 10 courses
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The sum of squares of two number is 80 and the square of difference between the two number is 36 find the product of two number. A) 11 B) 22 C)33 D)26?
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The sum of squares of two number is 80 and the square of difference between the two number is 36 find the product of two number. A) 11 B) 22 C)33 D)26? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The sum of squares of two number is 80 and the square of difference between the two number is 36 find the product of two number. A) 11 B) 22 C)33 D)26? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of squares of two number is 80 and the square of difference between the two number is 36 find the product of two number. A) 11 B) 22 C)33 D)26?.
The sum of squares of two number is 80 and the square of difference between the two number is 36 find the product of two number. A) 11 B) 22 C)33 D)26? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The sum of squares of two number is 80 and the square of difference between the two number is 36 find the product of two number. A) 11 B) 22 C)33 D)26? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of squares of two number is 80 and the square of difference between the two number is 36 find the product of two number. A) 11 B) 22 C)33 D)26?.
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