Penjelasan dengan langkah-langkah:
a) –x² + 2x – 6 = 0
a = –1, b = 2 , c = –6
x1,2 = –b ± √(b² – 4ac)
2a
x1,2 = –2 ± √(2² – 4[1][–6])
2[–1]
x1,2 = –2 ± √(4 + 24)
–2
x1,2 = –2 ± 2√7
x1,2 = –1 ± √7
x1 = –1 + √7
x2 = –1 – √7
b) –2x² – 9x + 5 = 0
–(2x² + 9x – 5) = 0
–(2x – 1)(x + 5) = 0
(1 – 2x)(5 + x) = 0
x1 = ½
x1 = ½x2 = –5
c) 2x² + 7x – 5 = 0
a = 2 , b = 7 , c = –5
x1,2 = –7 ± √(7² – 4[2][-5])
2[2]
x1,2 = –7 ± √(49 + 40)
4
x1,2 = –7 ± √89
x1 = ¼(–7 + √89)
x2 = –¼(7 + √89)
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Penjelasan dengan langkah-langkah:
a) –x² + 2x – 6 = 0
a = –1, b = 2 , c = –6
x1,2 = –b ± √(b² – 4ac)
2a
x1,2 = –2 ± √(2² – 4[1][–6])
2[–1]
x1,2 = –2 ± √(4 + 24)
–2
x1,2 = –2 ± 2√7
–2
x1,2 = –1 ± √7
x1 = –1 + √7
x2 = –1 – √7
b) –2x² – 9x + 5 = 0
–(2x² + 9x – 5) = 0
–(2x – 1)(x + 5) = 0
(1 – 2x)(5 + x) = 0
x1 = ½
x1 = ½x2 = –5
c) 2x² + 7x – 5 = 0
a = 2 , b = 7 , c = –5
x1,2 = –b ± √(b² – 4ac)
2a
x1,2 = –7 ± √(7² – 4[2][-5])
2[2]
x1,2 = –7 ± √(49 + 40)
4
x1,2 = –7 ± √89
4
x1 = ¼(–7 + √89)
x2 = –¼(7 + √89)