PERSAMAAN KUADRAT

"Semester 1"
A. Memfaktorkan.
Contoh:
     a      b      c
1. x² + 5x + 6 = 0
    (x+2)(x+3)=0
    x+2=0 v x+3=0
    x=-2 v x=-3
   
     6 ➡ 2x3=5
        ➡ 1x6=7
        ➡ -2x-3=-5
        ➡ -1x-6=-7
       Hp: {-3,-2}.

2. x² + 6x + 8 = 0
    (x+2)(x+4)=0
     x+2=0 v x+4=0
     x=-2 v x=-4

     8 ➡ 2x4=6
        ➡ 1x8=9
        ➡ -2x-4=-6
        ➡ -1x-8=-9
         Hp: {-4,-2}.

3. x² - 10x + 9 = 0
    (x-1)(x-9)=0
     x-1=0 v x-9=0
     x=1 v x=9

     9 ➡ 3x3=6
        ➡ 1x9=10
        ➡ -3x-3= -6
        ➡ -1x-9=-10
         Hp: {1,9}.

4. 3x² - 5x - 12 = 0
     Rumus : ( Ax+p)(Ax+q)=0
                                  :A

     (3x+4)(3x+9)=0
                :3
     (3x+4)3(3x+3)=0
                 3
     (3x+4)(x+3)=0
      3x+4=0 v x+3=0
      3x=4      v x=-3
        x=4/3

      ▶3x² dikali -12 = -36
       -36 ➡ 6x-6=0
              ➡ 1x-36=35
              ➡ -1x-36 =35
              ➡ 2x-18=-16
              ➡ 4x-9=-5
              ➡ -4x-9=5
       Hp : {-3,4/3}