Find three numbers in G.P. , whose sum is 19 and the sum of their squares is 133.

Take three nos to be a÷r,a,ar
acc. to 1 st condition,
a÷r+a+ar=19. -----eq no.(1)
acc to 2 nd
a²÷r² + a²+a²r² =133
Now squaring eq (1) ,we get

(a²÷r² + a²+a²r²)+2a²÷r²+ 2a² +2a²r=19²
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if u proceed further u will get the answer
Hope this helps you
  • -7
Note that
(a+b+c)²=a²+b²+c²+2ab+2bc+2ac
  • 4
Thank You.
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