Penjelasan dengan langkah-langkah:
13] x = 2
x² + (t - 5) x + t² - 18 = 0
2² + (t - 5) . 2 + t² - 18 = 0
4 + 2t - 10 + t² - 18 = 0
t² + 2t - 24 = 0
(t + 6) . (t - 4) = 0
t + 6 = 0
t = -6
t - 4 = 0
t = 4
x² + (-6 - 5) x + (-6)² - 18 = 0
x² - 11x + 36 - 18 = 0
x² - 11x + 18 = 0
(x - 9) . (x - 2) = 0
x - 9 = 0
x = 9
x - 2 = 0
x = 2
x² + (4 - 5) x + 4² - 18 = 0
x² - x + 16 - 18 = 0
x² - x - 2 = 0
(x - 2) . (x + 1) = 0
x + 1 = 0
x = -1
9 atau -1
14] p² - 3p - 10 = 0
p² - 3p = 10
(p - 3/2)² - (3/2)² = 10
(p - 3/2)² - 9/4 = 10
(p - 3/2)² = 40/4 + 9/4
p - 3/2 = +- √(49/4)
p = 3/2 +- 7/2
p1 = 3/2 + 7/2
p1 = 10/2
p1 = 5
p2 = 3/2 - 7/2
p2 = -4/2
p2 = -2
Kode Kategorisasi : 9.2.9
Kelas 9
Pelajaran 2 - Matematika
Bab 9 - Persamaan Kuadrat
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Penjelasan dengan langkah-langkah:
13] x = 2
x² + (t - 5) x + t² - 18 = 0
2² + (t - 5) . 2 + t² - 18 = 0
4 + 2t - 10 + t² - 18 = 0
t² + 2t - 24 = 0
(t + 6) . (t - 4) = 0
t + 6 = 0
t = -6
t - 4 = 0
t = 4
x² + (-6 - 5) x + (-6)² - 18 = 0
x² - 11x + 36 - 18 = 0
x² - 11x + 18 = 0
(x - 9) . (x - 2) = 0
x - 9 = 0
x = 9
x - 2 = 0
x = 2
x² + (4 - 5) x + 4² - 18 = 0
x² - x + 16 - 18 = 0
x² - x - 2 = 0
(x - 2) . (x + 1) = 0
x - 2 = 0
x = 2
x + 1 = 0
x = -1
9 atau -1
14] p² - 3p - 10 = 0
p² - 3p = 10
(p - 3/2)² - (3/2)² = 10
(p - 3/2)² - 9/4 = 10
(p - 3/2)² = 40/4 + 9/4
p - 3/2 = +- √(49/4)
p = 3/2 +- 7/2
p1 = 3/2 + 7/2
p1 = 10/2
p1 = 5
p2 = 3/2 - 7/2
p2 = -4/2
p2 = -2
Kode Kategorisasi : 9.2.9
Kelas 9
Pelajaran 2 - Matematika
Bab 9 - Persamaan Kuadrat