Question

What is the solution to the equation
O x = -3
x = -3 and x=0
O x = 0 and x = 3
O x = 3
X+3
2 ?
2x²

Answer 1

The solution to the equation 1/x = x + 3/2x^2 is x  = 0 or x = 3

How to determine the solution to the equation?

The equation is given as:

1/x = x + 3/2x^2

Cross multiply in the above equation

2x^2 = x^2 + 3x

Evaluate the like terms

x^2 - 3x = 0

Factor out x

x(x - 3) = 0

Solve for x

x  = 0 or x = 3

Hence, the solution to the equation 1/x = x + 3/2x^2 is x  = 0 or x = 3

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