what is the solution 1/x= x+3/2x^2
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the numerical expression:
1/x = x+3 /2x^2
Determine the solution.
Solution:
In order to solve for the solution of the given numerical expression, we can start first by multiplying 2x^2 on both sides of the equation to cancel out x + 3 /2x^2
1/x = x+3 /2x^2
(2x^2) 1/x = x+3 /2x^2 (2x^2)
2x^2/x = x + 3
2x^2 /x can be divided.
2x = x+ 3
Transpose x on the other side of the equation, thus when transposing a variable, the sign changes.
2x - x = 3
x = 3
Final answer:
x = 3