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What is the solution to the equation 1/x =x+3/2x^2?
Ox=-3
Ox= -3 and x = 0
O x = 0 and x = 3
O x = 3

What Is The Solution To The Equation 1x X32x2 Ox3 Ox 3 And X 0 O X 0 And X 3 O X 3 class=

Sagot :

The solution to the equation 1/x =x+3/2x^2 is x = 0 and 3. Option C

How to determine the equation

In solving for the values of 'x' we need to:

  • Simplify the expression, that is, make a quadratic equation
  • Solve the quadratic equation formed by either fractorisation or completing the square methods

Given the expression;

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

Cross multiply

x ( x+ 3) = 2x² ( 1)

Expand the bracket

x² + 3x = 2x²

collect like terms and equate all the variables to zero, we have ;

2x² - x² - 3x = 0

We then subtract the like terms, we getv

x²- 3x = 0

Now, let's find the common factor

Factor out 'x':

x ( x - 3 ) = 0

Equate each of the factors to zero and find the value of 'x' for each

So,

x = 0

And

x - 3 = 0

x = 3

Thus, the solution to the equation 1/x =x+3/2x^2 is x = 0 and 3. Option C

Learn more about quadratic equations here:

https://brainly.com/question/1214333

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