Chapter 7: Q. 7.151 (page 886)

Solve:
$25 p^{2} = 49$

Short Answer

Expert verified

The solutions of the quadratic equations $25 p^{2} = 49$ are $p = - \frac{7}{5}, \frac{7}{5}$

Step by step solution

Step 1. Given Information.

An equation:

$25 p^{2} = 49$

Step 2. Write the quadratic equation in the standard form.

$25 p^{2} = 49 25 p^{2} - 49 = 0$

Step 3. Factor the quadratic expression..

Factor the expression.

It is a difference of squares.

$25 p^{2} - 49 = 0 (5 p - 7) (5 p + 7) = 0$

Step 4. Use the Zero-Product property.

Use the Zero Product Property and set each factor to zero.

$5 p - 7 = 0 p = \frac{7}{5} 5 p + 7 = 0 p = - \frac{7}{5}$

The value of p is $p = - \frac{7}{5}, \frac{7}{5}$

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Solve:
$25 p^{2} = 49$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Write the quadratic equation in the standard form.

Step 3. Factor the quadratic expression..

Step 4. Use the Zero-Product property.

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Solve:25p2=49

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Write the quadratic equation in the standard form.

Step 3. Factor the quadratic expression..

Step 4. Use the Zero-Product property.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Applied Mathematics

Probability and Statistics

Pure Maths

Calculus

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Solve:
$25 p^{2} = 49$