Solve for x:1/2x + 5/4 = 3/x
3
2
-3
4
Answer (1)
Answer:1. Find a Common Denominator: The least common denominator for 2x, 4, and x is 4x. 2. Multiply Each Term by the Common Denominator:[tex]\mathsf{(4x) \times \frac{1}{2x} + (4x) \times \frac{5}{4} = (4x) \times \frac{3}{x}}[/tex] 3. Simplify: [tex]\mathsf{2 + 5x = 12}[/tex] 4. Isolate the x Term: [tex]\mathsf{5x = 10}[/tex] 5. Solve for x: [tex]\mathsf{x = 2}[/tex] Therefore, the solution to the equation 1/2x + 5/4 = 3/x is x = 2.
