# X+y+z=15 xy+yz+zx=72 then the value of x isi want it within 1 hr

2
by balu14012001

2014-12-22T20:19:38+05:30
Value of x is impossible with the given content.
2014-12-23T05:56:25+05:30

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you have given two equations only and there are three variables.  Hence one cannot solve for x as a numerical value.  But x can be found in terms of y and z.

x + y + z = 15          --- 4
(x + z) y + z x = 72
(15 - y) y + z x = 72

x = ( y^2 - 15 y + 72 ) / z  =  15 - y - z            ---  3

then  y and z satisfy :  y^2 + z^2 - 15 (y+z) + y z +72 = 0      - -- 2

by solving this equation of 2nd degree,  y can be found in terms of z.

Further,
(x+y+z)^2 - 2 (xy+yz+zx) = 15^2 - 2 * 72
x^2 + y^2 + z^2 = 81
81 - x^2  - 15 (y + z) + y z + 72 = 0

x^2 =  153 - 15 ( y + z ) + y z      --- 1

substituting value of y found above,  x can be found in terms of z.