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Quadratics
Quadratics
Quadratics
Quadratics
Quadratics
Quadratics
Quadratics
Quadratics
Quadratics
Quadratics
Quadratics
Quadratics
Quadratics
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Quadratics

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  • 1. PERSAMAAN KUADRAT (Quadratic Equations)
  • 2. Tujuan Pembelajaran <ul><li>At the end of this lesson, you should be able to </li></ul><ul><ul><li>Mendefinisikan persamaan kuadrat </li></ul></ul><ul><ul><li>Mengetahui berbagai cara penyelesaian persamaan kuadrat </li></ul></ul><ul><ul><li>Menyelesaikan persamaan kuadrat dengan memfaktorkan </li></ul></ul>
  • 3. Apakah Persamaan Kuadrat?
  • 4. Apersepsi 1. Sketsalah y = x 2 + 4x + 3. 2. Carilah nilai x yang membuat nilai y = 0 Pembuat nol : x =–3, x = –1
  • 5. Permasalahan yang sering ditemui dalam bentuk fungsi kuadrat Seekor kodok yang melompat Ikan lumba-lumba yang melompat Dalam Ekonomi?
  • 6. Bentuk Umum Persamaan Kuadrat <ul><li>ax 2 + bx + c = 0 , a  0 (why?) </li></ul><ul><li>x : variable </li></ul><ul><li>a, b : coefficient </li></ul><ul><li>c : constant </li></ul><ul><li>Nilai x yang memenuhi persamaan kuadrat disebut akar-akar (roots). </li></ul>
  • 7. Cara-cara penyelesaian Pers Kuadrat <ul><li>By graphical method </li></ul><ul><li>By factorization </li></ul><ul><li>By completing the square (melengkapkan kuadrat sempurna) </li></ul><ul><li>By quadratic formula (rumus abc) </li></ul><ul><li>Selesaikanlah persamaan kuadrat : </li></ul>
  • 8. By graphical method x y O roots
  • 9. By factorization roots (solutions)
  • 10. By quadratic formula
  • 11. a = b = c = 1 10 -7
  • 12. Solve a Quadratic Equation by the method of Completing the Square <ul><li>Adjust the left side of a quadratic equation, so that it becomes a perfect square (the square of first degree polynomial). </li></ul><ul><li>STEP </li></ul>
  • 13. Thank You any comments, questions, inputs, please write to: [email_address]

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