slove:x/x-1 + x-1/x = 85/42 (x does not equal to 0,1)
Answers
Answer:
Answer:
x=7,-6
Step-by-step explanation:
if you mean the question is
\frac{x}{x - 1} + \frac{x - 1}{x} = \frac{85}{42}
x−1
x
+
x
x−1
=
42
85
then the answer is x=7, or x= -6
a + \frac{1}{a} = \frac{85}{42} \: \: \: (suppose \: \frac{x}{x - 1} = a)a+
a
1
=
42
85
(suppose
x−1
x
=a)
or \: \frac{ {a}^{2} + 1}{a} = \frac{85}{42}or
a
a
2
+1
=
42
85
or \: 42 {a}^{2} - 85a + 42 = 0or42a
2
−85a+42=0
or \: 42 {a}^{2} - (49 + 36)a + 42 = 0or42a
2
−(49+36)a+42=0
or \: (6 a- 7)(7a - 6) = 0or(6a−7)(7a−6)=0
if \: (6a - 7) = 0 \: \: \: \: \: or \: (7a - 6) = 0if(6a−7)=0or(7a−6)=0
a = \frac{7}{6} \: \: \: \: \: or \: a = \frac{6}{7}a=
6
7
ora=
7
6
\frac{x}{x - 1} = \frac{7}{6} \: \: or \: \: \frac{x}{x - 1} = \frac{6}{7}
x−1
x
=
6
7
or
x−1
x
=
7
6
x = 7 \: \: or \: \: x = - 6x=7orx=−6
Step-by-step explanation:
please make me brainlist
Answer:
7 and -6 to answer in question