Question

What is the solution for

StartFraction 1 Over x EndFraction = StartFraction x + 3 Over 2 x squared EndFraction?

Answer 1

Solution :-

We have to find the value of x in

`\sf \: (1)/(x) = \frac{x + 3}{2x {}^(2) }`

On cross multiplication

2x² × 1 = x × (x + 3)

2x² = x² + 3x

2x² - x² = 3x

x² = 3x

x × x = 3 × x

x = 3

Answer 2

9514 1404 393

Answer:

x = 3

Explanation:

We want the solution to ...

`(1)/(x)=(x+3)/(2x^2)\\\\2x=x+3\qquad\text{multiply by $2x^2$}\\\\\boxed{x=3}\qquad\text{subtract $x$}`