Find the minimum value of 3x2 + 5y2...
Question
Fullscreen

Find the minimum value of 3x2 + 5y2 + 4z2 - 4xy- 4xz- 4x-2y + 25 for real numbers x, y and z.

JEE/Engineering Exams
Maths
Solution
58
Rating
4.0 (1 ratings)
Fullscreen
ghe 3 wh would thy to mare whall [ begin{array}{l} text { bymates to yot minimum value } Rightarrow x^{2}-4 x y+4 y^{2}+x^{2}-4 x z+4 x^{2}+x^{2} -4 x+4+y^{2}-2 y+1+20 -8(n-2 y)^{2}+(x-2 z)^{2}+(n-2)^{2}+(y-1)^{2}+20 end{array} ] by vate of any ( n 0,70 ) So, minimuth value of expression ( =20 )
Quick and Stepwise Solutions Just click and Send Download App OVER 20 LAKH QUESTIONS ANSWERED Download App for Free