Jawab:
Persamaan Kuadrat
jumlah akar akar dan hasil kali akar
Penjelasan dengan langkah-langkah:
x²+ (m- 1) x - (m² + 7 ) = 0
a= 1 , b = m -1 , c = -m² - 7
p + q = - b/a = -m + 1
p q = c/a = -m² - 7
..
jika p = - 2q
sub ke i) - 2q + q = - m + 1
- q = - m+ 1
q = m - 1
subke ii) -2q. q = -m² - 7
- 2q² = - m² - 7....(iv)
iii sub ke iv
- 2 (m -1)² = - m² - 7
-2 (m² - 2m + 1)} = - m² - 7
-2m²+ 4m - 2 = - m² - 7
- m² + 4m + 5 = 0
m² - 4m - 5 =0
(m - 5)(m + 1) =0
m = 5 atau m = -1
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Jawab:
Persamaan Kuadrat
jumlah akar akar dan hasil kali akar
Penjelasan dengan langkah-langkah:
x²+ (m- 1) x - (m² + 7 ) = 0
a= 1 , b = m -1 , c = -m² - 7
p + q = - b/a = -m + 1
p q = c/a = -m² - 7
..
jika p = - 2q
sub ke i) - 2q + q = - m + 1
- q = - m+ 1
q = m - 1
subke ii) -2q. q = -m² - 7
- 2q² = - m² - 7....(iv)
iii sub ke iv
- 2 (m -1)² = - m² - 7
-2 (m² - 2m + 1)} = - m² - 7
-2m²+ 4m - 2 = - m² - 7
- m² + 4m + 5 = 0
m² - 4m - 5 =0
(m - 5)(m + 1) =0
m = 5 atau m = -1