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Chapter 2: Q. 5 (page 126)

Find the real solutions of the equation:

2x+3=4

Short Answer

Expert verified

The solution of the equation is :

x=12x=-72

Step by step solution

01

Step 1. Given information 

The given equation is2x+3=4

02

Step 2. Open the modulus function

We know that, for x=a, we have:

x=ax=-a

Similarly, for 2x+3=4, we have:

2x+3=42x+3=-4

03

Step 3. Solving the equations

Solving the equation 2x+3=4, we get:

2x+3=42x=4-32x=-1x=-12

Solving the equation 2x+3=-4, we get:

2x+3=-42x=-4-32x=-7x=-72

04

Step 4. Verify the solutions

Substituting x=12in the given equation, we get:

2x+3=42脳12+3=41+3=44=44=4

This is true.

Substituting x=-72in the given equation, we get:

2x+3=42脳-72+3=4-7+3=4-4=44=4

This is true.

Thus, the solution of the equation is

x=12x=-72

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