Download presentation

Presentation is loading. Please wait.

Published byEmery Elliott Modified over 4 years ago

1
EXAMPLE 1 Solve quadratic equations Solve the equation. a. 2x 2 = 8 SOLUTION a. 2x 2 = 8 Write original equation. x 2 = 4 Divide each side by 2. x = ± 4 = ± 2 Take square roots of each side. Simplify. ANSWER The solutions are –2 and 2.

2
Solve quadratic equations EXAMPLE 1 b. m 2 – 18 = – 18 Write original equation. m 2 = 0 Add 18 to each side. The square root of 0 is 0. m = 0m = 0 ANSWER The solution is 0.

3
Solve quadratic equations EXAMPLE 1 c. b 2 + 12 = 5 Write original equation. b 2 = – 7 Subtract 12 from each side. ANSWER Negative real numbers do not have real square roots. So, there is no solution.

4
EXAMPLE 2 Take square roots of a fraction Solve 4z 2 = 9. SOLUTION 4z 2 = 9 Write original equation. z 2 = 9 4 Divide each side by 4. Take square roots of each side. z = ± 9 4 3 2 Simplify.

5
Take square roots of a fraction EXAMPLE 2 ANSWER The solutions are – and 3 2 3 2

6
Approximate solutions of a quadratic equation EXAMPLE 3 Solve 3x 2 – 11 = 7. Round the solutions to the nearest hundredth. SOLUTION 3x 2 – 11 = 7 Write original equation. 3x 2 = 18 Add 11 to each side. x 2 = 6 Divide each side by 3. x = ± 6 Take square roots of each side.

7
Approximate solutions of a quadratic equation EXAMPLE 3 x ± 2.45 Use a calculator. Round to the nearest hundredth. ANSWER The solutions are about – 2.45 and about 2.45.

8
EXAMPLE 1 Solve quadratic equations Solve the equation. 1. c 2 – 25 = 0 GUIDED PRACTICE for Examples 1,2 and 3 ANSWER –5, 5. 2. 5w 2 + 12 = – 8 ANSWER no solution 3. 2x 2 + 11 = 11 ANSWER 0

9
EXAMPLE 1 Solve quadratic equations Solve the equation. 4. 25x 2 = 16 GUIDED PRACTICE for Examples 1,2 and 3 ANSWER 4 5 4 5 –, 5. 9m 2 = 100 ANSWER 10 3 –, 3 6. 49b 2 + 64 = 0 ANSWER no solution

10
EXAMPLE 1 Solve quadratic equations Solve the equation. Round the solutions to the nearest hundredth. 7. x 2 + 4 = 14 GUIDED PRACTICE ANSWER – 3.16, 3.16 for Examples 1,2 and 3 8. 3k 2 – 1 = 0 ANSWER – 0.58, 0.58 9. 2p 2 – 7 = 2 ANSWER – 2.12, 2.12

Similar presentations

© 2019 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google