Solve: A. (x-2) / (x + 1) = 1 le Find & x
Answers
A
31
=A
28
A
3
=(A
4
)
7
.A
3
=I.A
3
=A
3
Answer:
Answer:
x= -5 or 2
Explanation:
It is given that,
\frac{x+1}{x-1}+\frac{x-2}{x+2}=3
x−1
x+1
+
x+2
x−2
=3
\implies\frac{(x+1)(x+2)+(x-2)(x-1)}{(x-1)(x+2)}=3⟹
(x−1)(x+2)
(x+1)(x+2)+(x−2)(x−1)
=3
\implies\frac{x^{2}+2x+x+2+x^{2}-x-2x+2}{x^{2}+2x-x-2}=3⟹
x
2
+2x−x−2
x
2
+2x+x+2+x
2
−x−2x+2
=3
\implies\frac{2x^{2}+4}{x^{2}+x-2}=3⟹
x
2
+x−2
2x
2
+4
=3
\implies 2x^{2}+4=3(x^{2}+x-2)⟹2x
2
+4=3(x
2
+x−2)
\implies 2x^{2}+4=3x^{2}+3x-6⟹2x
2
+4=3x
2
+3x−6
\implies 0=3x^{2}+3x-6-2x^{2}-4⟹0=3x
2
+3x−6−2x
2
−4
\implies x^{2}+3x-10=0⟹x
2
+3x−10=0
/* Splitting the middle term,we get */
\implies x^{2}+5x-2x-10=0⟹x
2
+5x−2x−10=0
\implies x(x+5)-2(x+5)=0⟹x(x+5)−2(x+5)=0
\implies (x+5)(x-2)=0⟹(x+5)(x−2)=0
=> x+5 = 0 Or x-2 = 0
=> x = -5 or x = 2
Therefore,
x = -5 Or 2
••••
Step-by-step explanation:
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