Chapter 7: Q. 321 (page 893)

In the following exercises, solve.
${(y - 3)}^{2} = 0$

Short Answer

Expert verified

The solution of the equation is $y = 3$ .

Step by step solution

Step 1. Given Information

We are given an equation ${(y - 3)}^{2} = 0$ .

We need to solve it using the Zero Product Property.

Step 2. Solve using Zero Product Property

The left-hand side can be written as the product of binomials as:

$\begin{array}{rcl} {(y - 3)}^{2} & = & 0 \\ (y - 3) (y - 3) & = & 0 \end{array}$

Using the Zero Product Property we set each factor to $0$ and solve the equations.

$\begin{array}{rcl} y - 3 & = & 0 \\ y & = & 3 \end{array}$

and

$\begin{array}{rcl} y - 3 & = & 0 \\ y & = & 3 \end{array}$

So the solution is $y = 3$ .

Step 3. Check the solution

Substitute $3$ for $y$ in the given equation.

$\begin{array}{rcl} {(y - 3)}^{2} & = & 0 \\ {(3 - 3)}^{2} & = & 0 \\ 0^{2} & = & 0 \\ 0 & = & 0 \end{array}$

As the statement is true, so the solution is correct.

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In the following exercises, solve.
${(y - 3)}^{2} = 0$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solve using Zero Product Property

Step 3. Check the solution

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In the following exercises, solve.y-32=0

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solve using Zero Product Property

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

Mechanics Maths

Logic and Functions

Geometry

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve.
${(y - 3)}^{2} = 0$