What's More Independent Activity 1 Determine the nature of the roots of the following quadratic equations using the discriminant. $1.$ $x^{2}+6x+9=0$ 0 discriminant: nature of the roots: 2. $x^{2}+9x+20=0$ discriminant: nature of the roots: 3. $2x^{2}-10x+8=0$ $discnminan$ nature of the roots: 4. $x^{2}+5x+10=0$ $discnmlnan$ nature of the roots: 5. $x^{2}+6x+3=0$ 0 $dlscnminan0$ nature of the roots: 6. $2x^{2}+6x+4=0$ $discnminant$ nature of the roots: 7. $3x^{2}-5x=-4$ $d|scnmlnant$ nature of the roots: $9x^{2}-6x=-9$ $discnminan$ nature of the roots: 98. . $10x^{2}-4x=8$ $discnmlnant$ nature of the roots: 10. $3x^{2}-2x-5=0$ $discnminant$ nature of the roots:

> Activity 7: What Is My Nature? Determine the nature of the roots of the following quadratic equations using the discriminant, Answer the questions that follow. nature of the roots: 1. discriminant : nature of the roots: 2 $x^{2}+6x+9=0$ $x^{2}+9x+20=0$ $d1sc$ $iminan1$ nature of the roots: 3. $2x^{2}-10x+8=0$ $discrim1nant$ 4. $disc1iminan1$ nature of the roots: 5. $x^{2}+5x+10=0$ $x^{2}+6x+3=0$ $2x^{2}+6x+4=0$ $discr1m1nan1$ nature of the roots: 6. $d1sc1im1nant$ nature of the roots: 7. $3x^{2}-5x=-4$ $disc1im1nan1$ nature of the roots: $8$ $9x^{2}-6x=-9$ $discLimtnan1$ nature of the roots: 9 $10x^{2}-4x=8$ $11sC$ $n1nan1$ nature of the roots: 10. $3x^{2}-2x-5=0$ $11sctin11nan1$ nature of the roots: $0ucstions$ a. How did you determine the nature of the roots of each quadratic equation? do you say that the roots of a quadratic equation are real or not real numbers? rational or nen irrational numbers? equal or not equal? How does the knowledge of the discriminant help you in determining the nature of the roots C. - of any quadratic equation?

Activity 5 $Direcions$ Determine the nature of the roots of the following quadratic equations using the discriminant. Answer the questions that follow. $1$ $x^{2}+5x=4$ $discnminant$ nature of the roots: $2$ $-4x^{2}=8x-3$ $discnminant$ nature of the roots: $3.10x-1=4x^{2}$ $discnminant$ nature of the roots: $4.15+8x-3x^{2}=0$ $disciminant$ nature of the roots: $5.$ $9x^{2}-6x=-9$ $disciminant$ nature of the roots: