A community for students.
Here's the question you clicked on:
 0 viewing
kitsune0724
 2 years ago
how do you solve 3/x+1 +2/x+3 =2? Please show me step by step. Thank you.
kitsune0724
 2 years ago
how do you solve 3/x+1 +2/x+3 =2? Please show me step by step. Thank you.

This Question is Closed

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.1\[\text{Is this the question?}\frac3{x + 1} + \frac{2}{x + 3} = 2\]

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.1\[\frac3{x + 1} + \frac{2}{x + 3} = 2\]\[\frac{3}{x + 1} \times \frac{x + 3}{x + 3} + \frac{2}{x + 3} \times \frac{x + 1}{x + 1} = \frac{2}{1} \times \frac{(x + 1)(x + 3)}{(x + 1)(x + 3)}\]\[\frac{3(x + 3) + 2(x + 1)}{x^{2} + 4x + 3} = \frac{ 2(x^{2} + 4x + 3)}{x^{2} + 4x + 3}\]You can just drop the denominator now. \[3(x + 3) + 2(x + 1) = 2(x^{2} + 4x + 3)\]Can you solve it now?

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.1Did you get it yet?

kitsune0724
 2 years ago
Best ResponseYou've already chosen the best response.0the next step please?

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.1\[3x + 9 + 2x + 2 = 2x^{2} + 8x + 6\]\[2x^{2} + 3x  5 = 0\]

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.1Can you solve the quadratic?

kitsune0724
 2 years ago
Best ResponseYou've already chosen the best response.0i'm still doing it.

kitsune0724
 2 years ago
Best ResponseYou've already chosen the best response.0\[3\pm i \sqrt{31} \over 4\] is that right?

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.1No. \[3x + 9 + 2x + 2 = 2x^{2} + 8x + 6\]\[2x^{2} + 3x  5 = 0\]\[2x^{2} 2x + 5x  5 = 0\]\[2x(x  1) + 5(x  1) = 0\]\[(2x + 5)(x  1) = 0\]\[x = \frac{5}{2}, 1\]

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.1Do you see how I got that?

kitsune0724
 2 years ago
Best ResponseYou've already chosen the best response.0thank you for your help.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.