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a. x²-4x-32=0
b. 2x+9x-5=0![]()
a. x²-4x-32=0
b. 2x+9x-5=0
Penjelasan dengan langkah-langkah:
a.
x² - 4x - 32 = 0
x² - 4x = 32
(x - 2)² - 2² = 32
(x - 2)² - 4 = 32
(x - 2)² = 32 + 4
(x - 2)² = 36
(x - 2) = ± √36
x = 2 ± √36
x = 2 ± 6
x₁ = 2 + 6
x₁ = 8
x₂ = 2 - 6
x₂ = -4
HP = (-4, 8)
b.
2x² + 9x - 5 = 0
x² + 9/2x - 5/2 = 0
x² + 9/2x = 5/2
(x + 9/4)² - (9/4)² = 5/2
(x + 9/4)² - 81/16 = 5/2
(x + 9/4)² = 5/2 + 81/16
(x + 9/4)² = 40/16 + 81/16
(x + 9/4)² = 121/16
(x + 9/4) = √(121/16)
(x + 9/4) = ± 11/4
x = ± 11/4 - 9/4
x₁ = 11/4 - 9/4
x₁ = 2/4
x₁ = 1/2
x₂ = -11/4 - 9/4
x₂ = -20/4
x₂ = -5
HP = { -5 , 1/2 }
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