Solve quadratic equations by factorization method (x)/(x+1)+(x+1)/(x)=(34)/(15), x != 0, x != -1.

Josalynn

Josalynn

Answered question

2021-05-12

Solve the following quadratic equations by factorization method
xx+1+x+1x=3415,x0,x1.

Answer & Explanation

insonsipthinye

insonsipthinye

Skilled2021-05-13Added 83 answers

Step 1
xx+1+x+1x=3415
Step 2
xx+1=t
t+1t=3415
t2+1t=3415
15t2+15=34t
15t234t+15=0
15t225t9t+15=0
5t(3t-5)-3(3t-5)=0
(3t-5)(5t-3)=0
t=53,35
xx+1=53
3x=5x+5
2x=-5
x=52
xx+1=35
5x=3x+3
2x=3
x=32
x=52,32

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?