Jawab:
x² + 2x - 3 = 0
(x + 3) (x - 1) = 0
x = -3 , x = 1
P(-3) = 7(-3) + 3
P(-3) = -21 + 3 = -18
(-3)³ + 3(-3)² - 3p + q = -18
-27 + 3(9) - 3p + q = -18
-27 + 27 - 3p + q = -18
-3p + q = -18 ...(1)
P(1) = 7 . 1 + 3 = 7 + 3 = 10
1³ + 3 . 1² + p . 1 + q = 10
1 + 3 + p + q = 10
p + q + 4 = 10
p + q = 10 - 4
p + q = 6 ...(2)
eliminasi persamaan 1 dan 2
-4p = -24
p = -24/(-4) = 6
p + q = 6
6 + q = 6
q = 6 - 6 = 0
maka nilai p dan q berturut-turut adalah 6 dan 0
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Verified answer
Jawab:
x² + 2x - 3 = 0
(x + 3) (x - 1) = 0
x = -3 , x = 1
P(-3) = 7(-3) + 3
P(-3) = -21 + 3 = -18
(-3)³ + 3(-3)² - 3p + q = -18
-27 + 3(9) - 3p + q = -18
-27 + 27 - 3p + q = -18
-3p + q = -18 ...(1)
P(1) = 7 . 1 + 3 = 7 + 3 = 10
1³ + 3 . 1² + p . 1 + q = 10
1 + 3 + p + q = 10
p + q + 4 = 10
p + q = 10 - 4
p + q = 6 ...(2)
eliminasi persamaan 1 dan 2
-4p = -24
p = -24/(-4) = 6
p + q = 6
6 + q = 6
q = 6 - 6 = 0
maka nilai p dan q berturut-turut adalah 6 dan 0
Penjelasan dengan langkah-langkah: