Fungsi Kuadrat
no. 7
f(x) = ax² - 5x + 23
f(3) = -10
3² a - 5.3 + 23 = -10
9a - 15 + 23 = -10
9a + 8 = -10
a = (-10 - 8)/9
a = -2
no. 8
f(x) = x² + bx - c
f(3) = 3² + 3b - c = 10
3b - c = 10 - 9
3b - c = 1 ... (1)
f(5) = 5² + 5b - c = 32
5b - c = 32 - 25
5b - c = 7 ... (2)
dari persamaan (1) dan (2)
5b - c = 7
3b - c = 1 -
2b = 6
b = 3
3b - c = 1
3.3 - c = 1
9 - c = 1
c = 8
Nilai b dan c berturut-turut : 3 dan 8
Jawaban:
7.
masukan nilai x = 3
f(3) = ax² - 5x + 23
-10 = a.3² - 5.3 + 23
-10 = 9a - 15 +23
-10 = 9a + 8
9a = -10 - 8 (nilai +8 pindah ruas menjadi -8)
9a = -18
a = -18 / 9
8.
jika:
f(3) = 10
=====> f (3) = 3² + 3b - c = 10
= 9 + 3b - c = 10
= 3b - c = 10 - 9
= 3b - c = 1
f(5) = 32
=====> f(5) = 5² + 5b - c = 32
= 25 + 5b - c = 32
= 5b - c = 32 - 25
= 5b - c = 7
maka:
------------ -
8b = -6 ( nilai c nya hilang)
b = -6/8 = -3/4
jadi nilai b yaitu -¾
kemudian cari nilai c
pakai saja 1 persamaan dengan memasukkan nilai b = -¾
(3 . -¾ ) - c = 1
-9/4 - c = 1
c = 9/4 - 1
c = 9/4 - 4/4
c = 5/4 atau 1¼
jadi nilai c yaitu 1¼
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Fungsi Kuadrat
no. 7
f(x) = ax² - 5x + 23
f(3) = -10
3² a - 5.3 + 23 = -10
9a - 15 + 23 = -10
9a + 8 = -10
a = (-10 - 8)/9
a = -2
no. 8
f(x) = x² + bx - c
f(3) = 3² + 3b - c = 10
3b - c = 10 - 9
3b - c = 1 ... (1)
f(5) = 5² + 5b - c = 32
5b - c = 32 - 25
5b - c = 7 ... (2)
dari persamaan (1) dan (2)
5b - c = 7
3b - c = 1 -
2b = 6
b = 3
3b - c = 1
3.3 - c = 1
9 - c = 1
c = 8
Nilai b dan c berturut-turut : 3 dan 8
Jawaban:
7.
f(x) = ax² - 5x + 23
f(3) = -10
masukan nilai x = 3
f(3) = ax² - 5x + 23
-10 = a.3² - 5.3 + 23
-10 = 9a - 15 +23
-10 = 9a + 8
9a + 8 = -10
9a = -10 - 8 (nilai +8 pindah ruas menjadi -8)
9a = -18
a = -18 / 9
a = -2
8.
f(x) = x² + bx - c
jika:
f(3) = 10
=====> f (3) = 3² + 3b - c = 10
= 9 + 3b - c = 10
= 3b - c = 10 - 9
= 3b - c = 1
f(5) = 32
=====> f(5) = 5² + 5b - c = 32
= 25 + 5b - c = 32
= 5b - c = 32 - 25
= 5b - c = 7
maka:
3b - c = 1
5b - c = 7
------------ -
8b = -6 ( nilai c nya hilang)
b = -6/8 = -3/4
jadi nilai b yaitu -¾
kemudian cari nilai c
pakai saja 1 persamaan dengan memasukkan nilai b = -¾
3b - c = 1
(3 . -¾ ) - c = 1
-9/4 - c = 1
c = 9/4 - 1
c = 9/4 - 4/4
c = 5/4 atau 1¼
jadi nilai c yaitu 1¼