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Chapter 9: Q. 397 (page 982)

In the following exercises, solve using the Square Root Property.
4a2=100

Short Answer

Expert verified

The solutions of the given equation are a=-5and a=5.

Step by step solution

01

Step 1. Given information.

The given equation is:

4a2=100

02

Step 2. Solve the equation.

Dividing both sides by 4. The given equation can be written as:

a2=1004a2=25

Taking square root on both sides. The above equation can be written as:

a=卤25a=卤5脳5a=卤5

03

Step 3. Conclusion.

The solutions of the given equation are a=-5and a=5.

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Most popular questions from this chapter

In the following exercises, solve by using the Quadratic Formula.
(x+1)(x-3)=2

In the following exercise, solve by completing the square.

u2+2u=3

A rectangular garden will be divided into two plots by fencing it on the diagonal. The diagonal distance from one corner of the garden to the opposite corner is five yards longer than the width of the garden. The length of the garden is three times the width. Find the length of the diagonal of the garden.

Use the Discriminant to Predict the Number of Solutions of a Quadratic Equation.

In the following exercises, determine the number of solutions for each quadratic equation.

a9v2-15v+25=0b100w2+60w+9=0(c)5c2+7c-10=0

Solve by using the Quadratic Formula:5n2+4n-4=0
See all solutions

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