solve for x 16/x-1=15/x+1; x not equal to o , -1
Answers
Answered by
1
Answer:
Given :
x+1
x
+
x
x+1
=
15
34
,x
=0,x
=−1
⇒
x(x+1)
x
2
+(x+1)
2
=
15
34
⇒
x
2
+x
x
2
+x
2
+2x+1
=
15
34
⇒34x
2
+34x=15x
2
+15x
2
+30x+15⇒4x
2
+4x−15=0⇒2x(2x+5)−3(2x+5)=0
⇒(2x−3)(2x+5)=0
⇒(2x−3)(2x+5)=0⇒2x−3=0or2x+5=0
⇒x=
2
3
orx=−
2
5
Answered by
5
Given :
x+1
x
+
x
x+1
=
15
34
,x
=0,x
=−1
⇒
x(x+1)
x
2
+(x+1)
2
=
15
34
⇒
x
2
+x
x
2
+x
2
+2x+1
=
15
34
⇒34x
2
+34x=15x
2
+15x
2
+30x+15⇒4x
2
+4x−15=0⇒2x(2x+5)−3(2x+5)=0
⇒(2x−3)(2x+5)=0
⇒(2x−3)(2x+5)=0⇒2x−3=0or2x+5=0
⇒x=
2
3
orx=−
2
5
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