Question

1

What is the solution to the equation
x
X+ 3
2x2
x
2
x=-3
x= -3 and x = 0
x = 0 and x = 3
x = 3
Is this answer correctly

Answer 1

x=3

Explanation:

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

Using cross products

1*2x^2 = x(x+3)

2x^2 = x^2 +3x

Subtract x^2 from each side

2x^2 -x^2 = 3x

Subtract 3x from each side

x^2 -3x =0

Factor

x(x-3) = 0

Using the zero product property

x=0 x-3 =0

x=0 x=3

Checking the solutions

x cannot be zero since the denominator cannot be zero

x=3