Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

I can't figure this equation out, help!!!!!!!!!!!!!!!!!!!!!!!

***The answer is 1 and -0.5, but I just can't figure out how to work it out.***

I Cant Figure This Equation Out HelpThe Answer Is 1 And 05 But I Just Cant Figure Out How To Work It Out class=

Sagot :

[tex]\frac{4}{2x-1}-\frac{2}{x}=2;\ D:2x-1\neq0\ \wedge\ x\neq0\Rightarrow x\neq\frac{1}{2}\ \wedge\ x\neq0\\\\\frac{4}{2x-1}=2+\frac{2}{x}\\\\\frac{4}{2x-1}=\frac{2x}{x}+\frac{2}{x}\\\\\frac{4}{2x-1}=\frac{2x+2}{x}\\\\cross\ multiply\\\\(2x-1)(2x+2)=4x\\4x^2+4x-2x-2-4x=0\\4x^2-2x-2=0\\4x^2-4x+2x-2=0[/tex]

[tex]4x(x-1)+2(x-1)=0\\(x-1)(4x+2)=0\iff x-1=0\ \vee\ 4x+2=0\\x=1\in D\ \vee\ x=-\frac{1}{2}\in D\\\\Solutions:x=-\frac{1}{2}\ or\ x=1.[/tex]
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.