Jawaban:
(x - p)² + (y + q)² = a
pusat = (p, - q)
r = √a
•
x² - 3x + 2 = 0
(x - 1)(x - 2) = 0
x = 1 atau x = 2
p(x) = x³ + ax² - 4x + b
p(1) = 9x - 5
1³ + a.1² - 4.1 + b = 9.1 - 5
a + b = 4 ... (1)
p(2) = 9x - 5
4a + b = 13 ... (2)
Eliminasi substitusi (1) dan (2)
a = 3 dan b = 1
a - b = 2 ✔
••
Pusat = (p,-q)
•••
x - 2 = 0
x = 2
f(x) = 2x³ + ax² + bx - 2
f(2) = 0
4a + 2b = -14
2a + b = -7 ... (1)
x + 3 = 0
x = -3
f(-3) = -50
9a - 3b = 6
3a - b = 2 ... (2)
a = -1 dan b = -5
a + b = -6 ✔
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Jawaban:
(x - p)² + (y + q)² = a
pusat = (p, - q)
r = √a
•
x² - 3x + 2 = 0
(x - 1)(x - 2) = 0
x = 1 atau x = 2
p(x) = x³ + ax² - 4x + b
p(1) = 9x - 5
1³ + a.1² - 4.1 + b = 9.1 - 5
a + b = 4 ... (1)
p(2) = 9x - 5
4a + b = 13 ... (2)
Eliminasi substitusi (1) dan (2)
a = 3 dan b = 1
a - b = 2 ✔
••
(x - p)² + (y + q)² = a
Pusat = (p,-q)
r = √a
•••
x - 2 = 0
x = 2
f(x) = 2x³ + ax² + bx - 2
f(2) = 0
4a + 2b = -14
2a + b = -7 ... (1)
x + 3 = 0
x = -3
f(-3) = -50
9a - 3b = 6
3a - b = 2 ... (2)
Eliminasi substitusi (1) dan (2)
a = -1 dan b = -5
a + b = -6 ✔