indyaswill indyaswill
  • 24-03-2020
  • Mathematics
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What is the value of A when we rewrite
(5/2)^x +(5/2)^x+3 as A x (5/2)^x

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devishri1977
devishri1977 devishri1977
  • 24-03-2020

Answer:

Step-by-step explanation:

[tex](\frac{5}{2})^{x}+(\frac{5}{2})^{(x+3)}=(\frac{5}{2})^{x}+(\frac{5}{2})^{x}*(\frac{5}{2})^{3}\\\\=(\frac{5}{2})^{x}*[1+(\frac{5}{2})^{3}][/tex]

Therefore,

[tex]A=1+(\frac{5}{2})^{3}[/tex]

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