Chapter 8: Q18. (page 492)

Solve each equation. Check your solution.
$a^{2} = 15 a$

Short Answer

Expert verified

The solution of $a^{2} = 15 a$ is role="math" localid="1647517127166" $a = 0, \frac{1}{2}$ .

Step by step solution

Step 1. Subtract.

Subtract $15 a$ from both the sides of the given equation.

$a^{2} - 15 a = 15 a - 15 a = 0$

Step 2. Factor by using GCF.

Factor by using GCF to get the form $x y = 0$ .

$a (a - 15) = 0$

Step 3. Write zero product property.

For any real numbers $x$ and $y$ , if $x y = 0$ then $x = 0, y = 0$ or both $x$ and $y$ equal to zero.

Step 4. Apply zero product property.

Apply zero product property to the given equation, $a (a - 15) = 0$ .

$a = 0 or a - 15 = 0 a = 15$

Therefore, the roots are 0 and 15.

Step 5. Check the obtained solution.

To check whether the obtained solution is correct or not, substitute 0 for $a$ and for in the given equation and simplify.

$0^{2} \overset{?}{=} 15 \cdot 0 0 = 0 L H S = R H S$

$15^{2} \overset{?}{=} 15 \cdot 15 225 = 225 L H S = R H S$

Therefore, the obtained solution is correct.

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Solve each equation. Check your solution.
$a^{2} = 15 a$

Short Answer

Step by step solution

Step 1. Subtract.

Step 2. Factor by using GCF.

Step 3. Write zero product property.

Step 4. Apply zero product property.

Step 5. Check the obtained solution.

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Solve each equation. Check your solution.a2=15a

Short Answer

Step by step solution

Step 1. Subtract.

Step 2. Factor by using GCF.

Step 3. Write zero product property.

Step 4. Apply zero product property.

Step 5. Check the obtained solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Mechanics Maths

Pure Maths

Applied Mathematics

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solution.
$a^{2} = 15 a$