Question

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

Answer 1

Answer:

x = 0 , 3

Step-by-step explanation:

$\frac{1}{x}=\frac{x+3}{2x^{2}}\\\\1*2x^{2}=x*(x+3)\\\\2x^{2}=x*x+x*3\\\\2x^{2}=x^{2}+3x\\\\2x^{2}-x^{2}-3x = 0\\\\x^{2}-3x =0\\\\x(x-3)=0$

x = 0 ;   x - 3 = 0

x = 0 ;      x = 3