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Chapter 6: Q. 297 (page 627)

In the following exercises, solve:

2x+1x-3=-4x

Short Answer

Expert verified

On solving the equation, we get x=-1,32.

Step by step solution

01

Step 1. Given information.

Consider the given equation,

2x+1x-3=-4x

Write the quadratic equation in standard form,

2x2-6x+x-3=-4x2x2-9x-3=0

02

Step 2. Factor the quadratic expression.

On factoring, we get,

2x2-3x+2x-3=0x2x-3+2x-3=0x+12x-3=0

Use the zero product property,

x+1=0x=-1

Then,

2x-3=0x=32

03

Step 3. Check the answers.

Substitute x=-1in the given equation,

2-1+1-1-3=-4-1-1-4=44=4

This is true.

Then,

232+132-3=-4323+1-32=-6-6=-6

This is also true.

Hence, the answer isx=-1,32.

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