Bara Putki, Dhanbad 
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Bara Putki, Dhanbad, India - 828116
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Class Location
Online class via Zoom
Student's Home
Tutor's Home
Years of Experience in Handwriting classes
1
Class Location
Online class via Zoom
Student's Home
Tutor's Home
Years of Experience in Class I-V Tuition
1
Board
CBSE
Subjects taught
English, Hindi
Taught in School or College
No
Class Location
Online class via Zoom
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Tutor's Home
Answered on 22/05/2020
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5x^2 + 5y^2 + 5z^2 = 4xy+4yx+4zx
Rearranging the terms: =>
2(x^2+y^2 -2xy) + 2(y^2+z^2 - 2yz) +2(z^2+x^2 -2zx) + x^2+y^2 +z^2 = 0 => 2(x-y)^2 + 2(y-z)^2 + 2(z-x)^2 + x^2 + y^2 + z^2 = 0
Now, LHS has all the terms non negative as all the terms are square of some number But RHS is zero.
So, all the non negative cannot add up to 0, hence all the numbers on the LHS has to be zero so that the RHS becomes 0. ∴ x-y = 0 , y-z =0, z-x=0 => x=y=z ∴
x:y:z =1:1:1
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Answers 353 
Comments Answered on 22/05/2020
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Like 0 Answers 654 Comments Answered on 22/05/2020
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Post a Lesson
Like 0 Answers 1172 Comments Answered on 22/05/2020
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Post a Lesson
Like 0 Answers 795 Comments Answered on 22/05/2020 Learn Hobby/Handwriting
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Like 0 Answers 52 Comments Ask a Question
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Class Location
Online class via Zoom
Student's Home
Tutor's Home
Years of Experience in Handwriting classes
1
Class Location
Online class via Zoom
Student's Home
Tutor's Home
Years of Experience in Class I-V Tuition
1
Board
CBSE
Subjects taught
English, Hindi
Taught in School or College
No
Class Location
Online class via Zoom
Student's Home
Tutor's Home
Answered on 22/05/2020
Ask a Question
Post a Lesson
5x^2 + 5y^2 + 5z^2 = 4xy+4yx+4zx
Rearranging the terms: =>
2(x^2+y^2 -2xy) + 2(y^2+z^2 - 2yz) +2(z^2+x^2 -2zx) + x^2+y^2 +z^2 = 0 => 2(x-y)^2 + 2(y-z)^2 + 2(z-x)^2 + x^2 + y^2 + z^2 = 0
Now, LHS has all the terms non negative as all the terms are square of some number But RHS is zero.
So, all the non negative cannot add up to 0, hence all the numbers on the LHS has to be zero so that the RHS becomes 0. ∴ x-y = 0 , y-z =0, z-x=0 => x=y=z ∴
x:y:z =1:1:1
Like 0 Answers 353 Comments Answered on 22/05/2020
Ask a Question
Post a Lesson
Like 0 Answers 654 Comments Answered on 22/05/2020
Ask a Question
Post a Lesson
Like 0 Answers 1172 Comments Answered on 22/05/2020
Ask a Question
Post a Lesson
Like 0 Answers 795 Comments Answered on 22/05/2020 Learn Hobby/Handwriting
Ask a Question
Post a Lesson
Like 0 Answers 52 Comments Ask a Question
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