1 / 10

Quadratic Equation Solver

This tool solves quadratic equations and provides step-by-step solutions. It supports equations with both whole numbers and fractions. Get accurate solutions quickly!

vsegura
Download Presentation

Quadratic Equation Solver

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. x = ± 4=±2  EXAMPLE 1 Solve quadratic equations Solve the equation. a. 2x2 = 8 SOLUTION a.2x2 = 8 Write original equation. Divide each side by 2. x2 = 4 Take square roots of each side. Simplify. The solutions are–2and2. ANSWER

  2. ANSWER The solution is 0. EXAMPLE 1 Solve quadratic equations b.m2 – 18 = – 18 Write original equation. m2 =0 Add 18 to each side. m=0 The square root of 0 is 0.

  3. ANSWER Negative real numbers do not have real square roots. So, there is no solution. EXAMPLE 1 Solve quadratic equations c.b2+12=5 Write original equation. b2 = – 7 Subtract 12 from each side.

  4. 9 3 9 z2 = 4 2 4  z = ± z = ± EXAMPLE 2 Take square roots of a fraction Solve 4z2 = 9. SOLUTION 4z2 = 9 Write original equation. Divide each side by 4. Take square roots of each side. Simplify.

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

  6. 6 x = ± EXAMPLE 3 Approximate solutions of a quadratic equation Solve 3x2–11=7. Round the solutions to the nearest hundredth. SOLUTION 3x2–11=7 Write original equation. 3x2 = 18 Add 11 to each side. x2 = 6 Divide each side by 3. Take square roots of each side.

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

  8. no solution ANSWER ANSWER ANSWER –5, 5. 0 EXAMPLE 1 for Examples 1,2 and 3 Solve quadratic equations GUIDED PRACTICE Solve the equation. 1.c2 – 25 = 0 2. 5w2 + 12 = – 8 3. 2x2 + 11 = 11

  9. no solution ANSWER ANSWER – , 4 4 10 10 ANSWER – 5 5 , 3 3 EXAMPLE 1 for Examples 1,2 and 3 Solve quadratic equations GUIDED PRACTICE Solve the equation. 4. 25x2 = 16 5. 9m2 = 100 6. 49b2 +64 = 0

  10. – 3.16, 3.16 – 0.58, 0.58 – 2.12, 2.12 ANSWER ANSWER ANSWER EXAMPLE 1 for Examples 1,2 and 3 Solve quadratic equations GUIDED PRACTICE Solve the equation. Round the solutions to the nearest hundredth. 7. x2 +4 = 14 8. 3k2 –1 = 0 9. 2p2 –7 = 2

More Related