Jawab:
D. 26
Penjelasan dengan langkah-langkah:
Jawaban:
26(D)
persamaan ax² - (a + 5)x + 8 = 0
a = a
b = -(a + 5)
c = 8
misal akarnya α dan β
a = 2b
b = b
a.b = c/a
b . 2b = 8/a
2b² = 8/a
b² = 8/2a
b² = 4/a
a + b = -b/a
b + 2b = -(-(a+ 5))/a
3ab = a + 5
9a²b² = (a + 5)²
9a².(4/a) = a² + 10a + 25
9a² . 4/a = a² + 10a + 25
36a = a² + 10a + 25
0 = a² - 26a + 25
0 = (a - 25)(a - 1)
a1 = 25 /// a2 = 1
a1 + a2 = 25 + 1 = 26( D )
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Jawab:
D. 26
Penjelasan dengan langkah-langkah:
Jawaban:
26(D)
Penjelasan dengan langkah-langkah:
persamaan ax² - (a + 5)x + 8 = 0
a = a
b = -(a + 5)
c = 8
misal akarnya α dan β
a = 2b
b = b
a.b = c/a
b . 2b = 8/a
2b² = 8/a
b² = 8/2a
b² = 4/a
a + b = -b/a
b + 2b = -(-(a+ 5))/a
3ab = a + 5
9a²b² = (a + 5)²
9a².(4/a) = a² + 10a + 25
9a² . 4/a = a² + 10a + 25
36a = a² + 10a + 25
0 = a² - 26a + 25
0 = (a - 25)(a - 1)
a1 = 25 /// a2 = 1
a1 + a2 = 25 + 1 = 26( D )