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Chapter 11: Q. 422 (page 1069)

Use the Zero Product Property in the following exercises to solve.

(a-3)(a+7)=0

Short Answer

Expert verified

The solutions of the given expression area=3and-7.

Step by step solution

01

Step 1. Given and explanation.

We have (a+3)(a-7)=0.

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

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

02

Step 2. Evaluating the values.

We have (a-3)(a+7)=0.

Putting them equal to zero gives us,

  1. a-3=0a=3
  2. a+7=0a=-7

This shows that values are3and-7.

03

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.

  1. When a=3
    (3-3)(3+7)=0(0)(10)=00=0
    Hence satisfied.
  2. When a=-7
    (-7-3)(-7+7)=0(-10)(0)=00=0
    Hence satisfied.

Thus our calculations are right.

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