PERSAMAAN  KUADRAT  (Quadratic Equations)
Tujuan Pembelajaran <ul><li>At the end of this lesson, you should be able to </li></ul><ul><ul><li>Mendefinisikan persamaa...
Apakah Persamaan Kuadrat?
Apersepsi 1.  Sketsalah  y  =  x 2  + 4x  +  3. 2.  Carilah nilai x yang membuat nilai y = 0  Pembuat nol : x =–3, x = –1
Permasalahan yang sering ditemui dalam bentuk fungsi kuadrat Seekor kodok yang melompat Ikan lumba-lumba yang melompat Dal...
Bentuk Umum Persamaan Kuadrat <ul><li>ax 2  + bx + c = 0 ,  a    0 (why?) </li></ul><ul><li>x : variable </li></ul><ul><l...
Cara-cara penyelesaian Pers Kuadrat <ul><li>By graphical method </li></ul><ul><li>By factorization </li></ul><ul><li>By co...
By graphical method x y O roots
By factorization roots (solutions)
By quadratic formula
a = b  = c  = 1 10 -7
Solve a Quadratic Equation by the method of Completing the Square <ul><li>Adjust the left  side of a quadratic equation, s...
Thank You any comments, questions, inputs, please write to: [email_address]
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Quadratics

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Quadratics

  1. 1. PERSAMAAN KUADRAT (Quadratic Equations)
  2. 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. 3. Apakah Persamaan Kuadrat?
  4. 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. 5. Permasalahan yang sering ditemui dalam bentuk fungsi kuadrat Seekor kodok yang melompat Ikan lumba-lumba yang melompat Dalam Ekonomi?
  6. 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. 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. 8. By graphical method x y O roots
  9. 9. By factorization roots (solutions)
  10. 10. By quadratic formula
  11. 11. a = b = c = 1 10 -7
  12. 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. 13. Thank You any comments, questions, inputs, please write to: [email_address]

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