If x2, 4 x + 3, 25 are in geometric sequence, find the values of x.
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this might be the answer
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Concept introduction:
This question is based on the identification of the possible value of x from the provided geometric equation x2, 4 x + 3, 25. By solving this equation with proper law, it will be possible to identify the values of x.
Given:
We have been a geometric equation.
To find:
We have to find the value of x.
Solution:
According to the question,
x2, 4 x + 3, 25
As they are in a geometric sequence,
4x+3/x^2=25/4x+3
or, (4x+3)^2 = 25x^2
or, 4x+3 = 5x
or, x = 3
Final answer:
The value of x is 3
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