What is the solution to the equation ? 1/x=x+3/2x2

asked May 23, 2021 155k views

5 votes

What is the solution to the equation
?
1/x=x+3/2x2

4.7k points

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3 votes

Answer:

x = 0 , 3

Explanation:

$(1)/(x)=(x+3)/(2x^(2))\\\\1*2x^(2)=x*(x+3)\\\\2x^(2)=x*x+x*3\\\\2x^(2)=x^(2)+3x\\\\2x^(2)-x^(2)-3x = 0\\\\x^(2)-3x =0\\\\x(x-3)=0$

x = 0 ; x - 3 = 0

x = 0 ; x = 3

Ojus answered May 28, 2021

by Ojus

4.3k points

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