Tolong di jawab kak .pakai cara
2x²-8x+12= 0
(2x-6)(x-2) = 0
2x-6 =0 , x-2 =0
2x =0+6 , x = 0+2
2x = 6 , x = 2
x =6÷2
x=3
jadi x1 = 3 dan x2 =2
a. x1+x2
= 3+2
= 5
b. x1.x2
= 3.2
= 6
c. x1²+x2²
= 3² + 2²
= 9 + 4
= 13
d. x1–x2
= 3-2
=1
2x^2 – 8x + 12 = 0
a = 2
b = -8
c = 12
a]
x1 + x2
= -b/a
= -(-8)/2
= 8/2
= 4
b]
x1 . x2
= c/a
= 12/2
= 6
c]
(x1)^2 + (x2)^2
= (x1 + x2)^2 – 2(x1 . x2)
= 4^2 – 2(6)
= 16 – 12
= 4
d]
x1 – x2
= (VD)/a
= [V(b^2 – 4ac)]/a
= [V((-8)^2 – 4(2)(12))]/2
= [V(64 – 96)]/2
= (V(-32))/2
= (1/2)V(-32)
(tidak terdefinisi karena akarnya bernilai negatif)