x+1/2x=2x find the roots of the following equation
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Answer:
+/- √(1/2)
x = +/- √(1/2)
Step-by-step explanation:
Given,
x + 1/2x = 2x
On solving this, we get,
=> (2x^2 + 1) / 2x = 2x
=> 2x^2 + 1 = 4x^2
=> 4x^2 - 2x^2 = 1
=> 2x^2 = 1
=> x^2 = 1/2
=> x = √(1/2) =+/- √(1/2)
Hence, values of
x = +/- √(1/2)
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