Question

If 2x⁴,2y⁴,2z⁴=144,then find the mean of x⁴,y⁴,z⁴.

Answer 1

`\text{Given that,}\\\\~~~~~~~2x^4 +2y^4 +2z^4 = 144\\\\\implies 2(x^4+y^4 +z^4) = 144\\\\\implies x^4 +y^4 +z^4 = (144)/(2)\\\\\implies x^4 +y^4 +z^4 = 72\\\\\text{Mean} = (x^4+y^4+z^4)/(3)\\\\~~~~~~~~=(72)/(3)\\\\~~~~~~~~=24`