Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Solve 4/(x + 1) - 1/x = 1 over the real numbers.

Sagot :

Lilith
[tex]\frac{ 4}{x + 1} - \frac{1}{x} = 1 \\ \\x+1\neq 0 \ \ \ and \ \ \ x\neq 0 \\ \\x\neq -1 \ \ \ and \ \ \ x\neq 0 \\ \\D=R\setminus \left \{ -1,0 \right \}[/tex]

[tex]\frac{ 4x- (x+1)}{x(x + 1)} = 1 \\ \\\frac{ 4x- x-1 }{x^2+ x}=1 \\ \\\frac{ 3x -1 }{x^2 + x} = 1 \\ \\3x-1=x^2+x\\ \\ x^2+x-3x+1=0[/tex]

[tex]x^2-2x+1=0 \\ \\ (x-1)^2=0 \\ \\x-1=0 \\ \\x=1[/tex]
 

Dannymal
Ok sorry I guessed this one but it was x = 1
4/(1+1) - 1/1 = 1
2 - 1 = 1
And it's right :)
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.