6. DISCRIMINANTS- Nature of the Roots.pptx

A short presentation about Discriminants for Grade 9 Learners

1. Hello! I am Jayden Smith I am here because I love to give presentations. You can find me at @username 1

2. PEACE & ALL GOOD!

3. Mental Drill! Answer the problem within 5 seconds! If x= 2, then, 2x=? 3 Solution: 2x = 2(2) = 4

4. 4 If n= 5, then, n+2n=? Solution: n+2n = 5+2(5) = 5+10 = 15

5. 5 If y=-3, then, 4+2y=? Solution: 4+2y = 4+2(-3) = 4+(-6) = -2

6. Complete the table 6 QE Standard form a b c 1   1   1 QE Standard form a b c 1   1   1

7. Essential Question How are the sum and the product of the roots related to the coefficients a, b, and c? 7

8. LESSON Roots, Discriminants and Coefficients 8

9.   Discriminant 9 Nature of the Roots D>0 and not a perfect square Irrational and not equal D>0 and a perfect square Rational and not equal D=0 Rational and equal D<0 imaginary Nature of the Roots D>0 and not a perfect square Irrational and not equal D>0 and a perfect square Rational and not equal D=0 Rational and equal D<0 imaginary

10. EXAMPLE 1 D etermine the nature of the roots: Solution: a=1, b=-6, c=9   10 Therefore, the roots are rational and equal.

11. EXAMPLE 2 D etermine the nature of the roots: Solution: a=2, b=-3, c=-9   11 81 > 0 and a perfect square. Therefore, the roots are rational and not equal.

12. Activity 12

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