Chapter 7: Q. 7.137 (page 881)

Solve: $(x - 3) (x + 5) = 0 .$

Short Answer

Expert verified

The solutions are $x = 3 o r x = - 5 .$

Step by step solution

Step 1. Given Information

The given equation is $(x - 3) (x + 5) = 0 .$ We have to solve it.

Step 2. Set each factor equal to zero

As it is given the product is equal to zero. So, at least one factor must equal zero.

$(x - 3) (x + 5) = 0 x - 3 = 0 o r x + 5 = 0$

Step 3. Solve the linear equations

Let's solve each equation

$x - 3 = 0 o r x + 5 = 0 x = 3 o r x = - 5$

Step 4. Check the answer

To check the answer substitute values of xinto the original equation.

When $x = 3$

$(x - 3) (x + 5) = 0 (3 - 3) (3 + 5) = 0 0 (8) = 0 0 = 0$

It is true.

When $x = - 5$

$(x - 3) (x + 5) = 0 (- 5 - 3) (- 5 + 5) = 0 (- 8) (0) = 0 0 = 0$

It is true.

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Solve: $(x - 3) (x + 5) = 0 .$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Set each factor equal to zero

Step 3. Solve the linear equations

Step 4. Check the answer

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Solve: (x−3)(x+5)=0.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Set each factor equal to zero

Step 3. Solve the linear equations

Step 4. Check the answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Calculus

Decision Maths

Geometry

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Solve: $(x - 3) (x + 5) = 0 .$