Penjelasan dengan langkah-langkah:
1] x² - 20 = 8x
x² - 8x - 20 = 0
a = 1; b = -8; c = -20
(x1)² + (x2)²
= (x1 + x2)² - 2 . x1 . x2
= (-b/a)² - 2 . c/a
= (- (-8/1))² - 2 . (-20/1)
= 64 + 40
= 104
2] 1/x - 1/(x + 3) = 3/10
(x + 3 - x)/(x . (x + 3)) = 3/10
3/(x² + 3x) = 3/10
3 : 3 = 1
1/(x² + 3x) = 1/10
x² + 3x = 10
x² + 3x - 10 = 0
(x + 5) . (x - 2) = 0
x - 2 = 0
x = 2
x + 5 = 0
x = -5
x1 > x2
2 > -5
x1 - x2
= 2 - (-5)
= 2 + 5
= 7
Kode Kategorisasi : 9.2.9
Kelas 9
Pelajaran 2 - Matematika
Bab 9 - Persamaan Kuadrat
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Penjelasan dengan langkah-langkah:
1] x² - 20 = 8x
x² - 8x - 20 = 0
a = 1; b = -8; c = -20
(x1)² + (x2)²
= (x1 + x2)² - 2 . x1 . x2
= (-b/a)² - 2 . c/a
= (- (-8/1))² - 2 . (-20/1)
= 64 + 40
= 104
2] 1/x - 1/(x + 3) = 3/10
(x + 3 - x)/(x . (x + 3)) = 3/10
3/(x² + 3x) = 3/10
3 : 3 = 1
1/(x² + 3x) = 1/10
x² + 3x = 10
x² + 3x - 10 = 0
(x + 5) . (x - 2) = 0
x - 2 = 0
x = 2
x + 5 = 0
x = -5
x1 > x2
2 > -5
x1 - x2
= 2 - (-5)
= 2 + 5
= 7
Kode Kategorisasi : 9.2.9
Kelas 9
Pelajaran 2 - Matematika
Bab 9 - Persamaan Kuadrat