9514 1404 393
Answer:
x = 3
Step-by-step explanation:
We want the solution to ...
[tex]\dfrac{1}{x}=\dfrac{x+3}{2x^2}\\\\2x=x+3\qquad\text{multiply by $2x^2$}\\\\\boxed{x=3}\qquad\text{subtract $x$}[/tex]
Answer:
We have to find the value of x in
[tex] \sf \: \dfrac{1}{x} = \dfrac{x + 3}{2x {}^{2} } [/tex]
On cross multiplication
2x² × 1 = x × (x + 3)
2x² = x² + 3x
2x² - x² = 3x
x² = 3x
x × x = 3 × x
x = 3
