Jawaban:

Persamaan Kuadrat

Penjelasan dengan langkah-langkah:

1.a. (x-4)(x-6)=0

x²-4x-6x+24=0

x²-10x+24=0

b. (x-(-1)(x-4)=0

(x+1)(x-4)=0

x²+x-4x-4=0

x²-3x-4=0

c. (x-(-3)(x-(-5)=0

(x+3)(x+5)=0

x²+3x+5x+15=0

x²+8x+15=0

d. (x-1/2)(x-2)=0

(x²-1/2x-2x+1)=0

x²-5/2x+1=0

------------------ x 2

2x²-5x+2=0

2. x²+2x-7=0

( x₁+2) + (x₂+2)=

(x₁+x₂)+4

(-b/a)+4

(-2/1)+4

(-2)+4

2

(x₁+2)(x₂+2)

(x₁x₂+2x₂+2x₁+4)

(x₁x₂)+2(x₁+x₂)+4

(c/a)+2(-b/a)+4

(-7/1)+2(-2/1)+4

(-7)+2(-2)+4

(-7)-4+4

-7

(x²-(x₁+x₂)x+(x₁.x₂)=0

(x²-(2)x+(-7)=0

x²-2x-7=0

Demikian

Semoga membantu dan bermanfaat!