CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

If q is the mean proportional between p and r prove that :

p3+q3+r3p2q2r2=1p3+1q3+1r3


Solution

Since q is the mean proportional between p and r
q squared equals p r L. H. S equals fraction numerator p cubed plus q cubed plus r cubed over denominator p squared q squared r squared end fraction equals fraction numerator p cubed plus left parenthesis p r right parenthesis q plus r cubed over denominator p squared left parenthesis p r right parenthesis r squared end fraction equals fraction numerator p cubed plus p q r plus r cubed over denominator p cubed r cubed end fraction equals 1 over r cubed plus fraction numerator q over denominator p squared r squared end fraction plus 1 over p cubed equals 1 over r cubed plus q over open parentheses q squared close parentheses squared plus 1 over p cubed equals 1 over r cubed plus 1 over q cubed plus 1 over p cubed R. H. S

Mathematics
Concise Mathematics
Standard X

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
Same exercise questions
View More


similar_icon
People also searched for
View More



footer-image