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My Friend Debarshi here overlooked a very minute thing and assumed that x,y,z are integers however this isn't the case. now if i take x= ?3, y=?5, z=2?2 then x2+y2+z2=16 but x+2y+2z~11.8. In this case you should take more comprehensive approach. whenever you need to maximise a+b+c then all the numbers...
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My Friend Debarshi here overlooked a very minute thing and assumed that x,y,z are integers however this isn't the case. now if i take x= ?3, y=?5, z=2?2 then x2+y2+z2=16 but x+2y+2z~11.8. In this case you should take more comprehensive approach. whenever you need to maximise a+b+c then all the numbers has to positive(why). Now what values can x,y,z can take? for this look at the right hand side number, 16. x,y,z can't be bigger than 4 and also can't take values of roots of degree higher than 2, so values left are x,y,z= 1, ?2, ?3, 2, ?5, ?6, ?7...4. out of this rejecting 0,1 is very easy and then with combinations you can find ans. read less
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Coaching home tutor (3 years exp)

Dear Malay, Whenever, you have such questions, try out with combinations, such that the equation is satisfied. In this case, if x=-2,y=-2,z=-2, And if we put values in x square+ysquare +zsquare, the answer is 16. Similarly, if x=2,y=2,z=2, then also the above equation gets satisfied. However,...
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Dear Malay, Whenever, you have such questions, try out with combinations, such that the equation is satisfied. In this case, if x=-2,y=-2,z=-2, And if we put values in x square+ysquare +zsquare, the answer is 16. Similarly, if x=2,y=2,z=2, then also the above equation gets satisfied. However, in the above question, we need to ensure that the value obtained by substuting x,y,z in x+2y+2z is maximum. So such a case is only possible when x=2,y=2,z=2. I.e. x+2y+2z is equal to 10. Hence, the answer to ur question is 10. read less
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Home tutor

x square +y square +z square =16 Then find the maximum value of x+2y+2z . Plz help
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Graduate-pharmacist

Physics :ncert, S L. Arora for question bank, maths: R.D Sharma
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you can use here lagrange multiplier method
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CHEMISRTY

chemistry
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Tutor

read sd sharma or rd sharma guide books for matematics cbse ncert syllabus
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