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Chapter 8: Q. 8.125 (page 975)

Solve :

2x+5-1x-1=1.

Short Answer

Expert verified

x=-1,-2.

Step by step solution

01

Step 1. Given information.

To solve2x+5-1x-1=1.

02

Step 2. Solve by taking LCD.

We get

2x+5-1x-1=1;x鈮�-5,x鈮�1

Taking LCD and multiply it to both sides,

(x+5)(x-1)[2x+5-1x-1]=1[(x+5)(x-1)]2(x-1)-1(x+5)=(x+5)(x-1)2x-2-x-5=x2+5x-x-5x-7=x2+4x-50=x2+3x+2

03

Step 3. Factorize and use zero product property.

On simplifying,

x2+3x+2=0x2+2x+x+2=0x(x+2)+1(x+2)=0(x+1)(x+2)=0x+1=0orx+2=0x=-1orx=-2

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