Three members GP

The sum of three numbers in GP (geometric progression) is 21 and the sum of their squares is 189. Find the numbers.

Correct result:

a =  3
b =  6
c =  12
a2 =  12
b2 =  6
c2 =  3

Solution:


Checkout calculation with our calculator of quadratic equations.

b=q1 a=2 3=6b=q_{1} \cdot \ a=2 \cdot \ 3=6
c=q1 b=2 6=12c=q_{1} \cdot \ b=2 \cdot \ 6=12
a2=21/(1+q2+q22)=21/(1+0.5+0.52)=12a_{2}=21/(1+q_{2}+q_{2}^2)=21/(1+0.5+0.5^2)=12
b2=q2 a2=0.5 12=6b_{2}=q_{2} \cdot \ a_{2}=0.5 \cdot \ 12=6
c2=q2 b2=0.5 6=3c_{2}=q_{2} \cdot \ b_{2}=0.5 \cdot \ 6=3



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