3 years ago

What is the value of A when we rewrite (5/2)^x +(5/2)^x+3 as A x (5/2)^x

Mathematics

1 answer:

elixir [45]3 years ago

3 0

Answer:

Step-by-step explanation:

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

Therefore,

$A=1+(\frac{5}{2})^{3}$

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