Tolong bantuan nya kakak
Penjelasan dengan langkah-langkah:
1.
(-3x + 4)(x – 2) = 0
-3x + 4 = 0
3x = 4
x = 4/3 atau
x – 2 = 0
x = 2
HP = {x | x = (4/3, 2)}
dengan memfaktorkan :
2.
x² + 8x = 0
x(x + 8) = 0
x = 0 atau
x + 8 = 0
x = – 8
HP = {x | x = (-8, 0)}
3.
x² – 16x + 15 = 0
(x – 1)(x – 15) = 0
x – 1 = 0
x = 1 atau
x – 15 = 0
x = 15
HP = {x | x = {1 , 15)}
dengan melengkapi kuadrat
x² – 4x = 21
(x – 2)² – 2² = 21
(x – 2)² – 4 = 21
(x – 2)² = 21 + 4
(x – 2)² = 25
x – 2 = √25
x – 2 = ± 5
x = 2 ± 5
x₁ = 2 + 5 = 7
x₂ = 2 – 5 = -3
HP = {x | x = {-3 , 7)}
dengan rumus abc
5.
x² + 8x – 20 = 0
a = 1, b = 8, c = -20
x₁,₂ = [-b ± √(b² – 4ac)]/2a
x₁,₂ = [-8 ± √(8² – 4(1)(-20)]/2(1)
x₁,₂ = [-8 ± √(64 + 80]/2
x₁,₂ = [-8 ± √(144)]/2
x₁,₂ = (-8 ± 12)/2
x₁,₂ = -4 ± 6
x₁ = -4 + 6 = 2
x₂ = -4 – 6 = -10
HP = {x | x = {-10 , 2)}