Question

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

Answer 1

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