Penjelasan dengan langkah-langkah:
76] x1 + x2 = 7
x1 - x2 = -5
(x1 - x2)² = (-5)²
(x1)² - 2x1 . x2 + (x2)² = 25
(x1)² + (x2)² - 2 . x1 . x2= 25
(x1 + x2)² - 2 . x1 . x2 - 2 . x1 . x2 = 25
7² - 4 . x1 . x2 = 25
49 - 4 . x1 . x2 = 25
-4 . x1 . x2 = 25 - 49
x1 . x2 = -24/-4
x1 . x2 = 6
x² - (x1 + x2) x + (x1 . x2) = 0
x² - 7x + 6 = 0
ax² + bx + c = 0
a = 1; b = -7; c = 6
a + b + c
= 1 - 7 + 6
= 0
77] α + β = 7
α . β = -30
x² - (α + β) x + (α . β) = 0
x² - 7x - 30 = 0
Kode Kategorisasi : 9.2.9
Kelas 9
Pelajaran 2 - Matematika
Bab 9 - Persamaan Kuadrat
Jawaban:
76.
sehingga persamaan kuadratnya adalah
maka
77.
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Penjelasan dengan langkah-langkah:
76] x1 + x2 = 7
x1 - x2 = -5
(x1 - x2)² = (-5)²
(x1)² - 2x1 . x2 + (x2)² = 25
(x1)² + (x2)² - 2 . x1 . x2= 25
(x1 + x2)² - 2 . x1 . x2 - 2 . x1 . x2 = 25
7² - 4 . x1 . x2 = 25
49 - 4 . x1 . x2 = 25
-4 . x1 . x2 = 25 - 49
x1 . x2 = -24/-4
x1 . x2 = 6
x² - (x1 + x2) x + (x1 . x2) = 0
x² - 7x + 6 = 0
ax² + bx + c = 0
a = 1; b = -7; c = 6
a + b + c
= 1 - 7 + 6
= 0
77] α + β = 7
α . β = -30
x² - (α + β) x + (α . β) = 0
x² - 7x - 30 = 0
Kode Kategorisasi : 9.2.9
Kelas 9
Pelajaran 2 - Matematika
Bab 9 - Persamaan Kuadrat
Jawaban:
76.
sehingga persamaan kuadratnya adalah
maka
77.