Chapter 6: Q. 425 (page 636)

Use the Zero Product Property in the following exercises, solve.
${(2 x - 1)}^{2} = 0$

Short Answer

Expert verified

The solution of the expression is $x = \frac{1}{2}$ .

Step by step solution

Step 1. Given and explanation.

We have ${(2 x - 1)}^{2} = 0$ .

We know that the zero product property states that if $a \times b = 0$ , then either of the factors, both are equal to zero.

So putting them equal to zero will give us the values.

Step 2. Evaluating the values.

We have ${(2 x - 1)}^{2} = 0$ .

Putting under root both sides to eliminate the square gives us $2 x - 1 = 0$ .

Putting it equal to zero gives

$2 x - 1 = 0 2 x = 1 x = \frac{1}{2}$

This shows that the value is $\frac{1}{2}$ .

Step 3. Check the solution.

We will check the solution by putting the value of the solution in the equation separately. If the equation satisfies, our answer is right.

So, when $x = \frac{1}{2}$ , the equation becomes,

${[2 (\frac{1}{2}) - 1]}^{2} = 0 {(1 - 1)}^{2} = 0 0 = 0$

Thus our calculations are right.

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Use the Zero Product Property in the following exercises, solve.
${(2 x - 1)}^{2} = 0$

Short Answer

Step by step solution

Step 1. Given and explanation.

Step 2. Evaluating the values.

Step 3. Check the solution.

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Use the Zero Product Property in the following exercises, solve.(2x-1)2=0

Short Answer

Step by step solution

Step 1. Given and explanation.

Step 2. Evaluating the values.

Step 3. Check the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Logic and Functions

Statistics

Discrete Mathematics

Calculus

Decision Maths

Study anywhere. Anytime. Across all devices.

Use the Zero Product Property in the following exercises, solve.
${(2 x - 1)}^{2} = 0$