Penjelasan dengan langkah-langkah:
1.
x²+x-2=0
-1±√(1)²-4.1.-2/2.1
-1±√1+8/2
-1±√9/2
-1±3/2
x1= -1+3/2
x1= 2/2 = 1
x2= -1-3/2
x2= -4/2 = -2
x1= 1×3= 3
x2= -2×3= -6
Yang cocok adalah B. x²+3x-18
-3±√(3²)4.1.-18/2.1
-3±√9+72/2
-3±√81/2
-3±9/2
x1= -3+9/2
x1= 6/2 = 3 (cocok)
x2= -3-9/2
x2= -12/2 = -6 (cocok)
2.
x²-5x+6= 0
x1+x²= - b/a = -(-5)/1= 5/1 = 5
x1 x2=c/a = 6/1 = 6
p= -x1
q= -x2
p+q= -(x1+x2)= - 5
p q= -x1(-x2) = 6
PK baru
x²+- (p+q)x+(p.q)= 0
x²- (-5)x+ (6)= 0
x²+5x+6= 0
Jawaban A
Semoga membantu dan bermanfaat
1.x²+x-2=0
(X+2)(x-1)=0
X=-2 x=1
3 kali akar²nya
x'=-6 x'=3...(1)✔️
x²+3x-18=0
(X-6)(x+3)=0
X=6 x=-3 ✔️. (B)
2.x²-5x+6=0
(X-3)(x-2)=0
X=3 x=2
Berlawanan tanda,berarti :
X'=-3 x'=-2 ✔️
X²+5x+6=0
(X+3)(x+2)=0
X=-3 x=-2 ✔️ (A)
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Penjelasan dengan langkah-langkah:
1.
x²+x-2=0
-1±√(1)²-4.1.-2/2.1
-1±√1+8/2
-1±√9/2
-1±3/2
x1= -1+3/2
x1= 2/2 = 1
x2= -1-3/2
x2= -4/2 = -2
x1= 1×3= 3
x2= -2×3= -6
Yang cocok adalah B. x²+3x-18
-3±√(3²)4.1.-18/2.1
-3±√9+72/2
-3±√81/2
-3±9/2
x1= -3+9/2
x1= 6/2 = 3 (cocok)
x2= -3-9/2
x2= -12/2 = -6 (cocok)
2.
x²-5x+6= 0
x1+x²= - b/a = -(-5)/1= 5/1 = 5
x1 x2=c/a = 6/1 = 6
p= -x1
q= -x2
p+q= -(x1+x2)= - 5
p q= -x1(-x2) = 6
PK baru
x²+- (p+q)x+(p.q)= 0
x²- (-5)x+ (6)= 0
x²+5x+6= 0
Jawaban A
Semoga membantu dan bermanfaat
Penjelasan dengan langkah-langkah:
1.x²+x-2=0
(X+2)(x-1)=0
X=-2 x=1
3 kali akar²nya
x'=-6 x'=3...(1)✔️
x²+3x-18=0
(X-6)(x+3)=0
X=6 x=-3 ✔️. (B)
2.x²-5x+6=0
(X-3)(x-2)=0
X=3 x=2
Berlawanan tanda,berarti :
X'=-3 x'=-2 ✔️
X²+5x+6=0
(X+3)(x+2)=0
X=-3 x=-2 ✔️ (A)