Jawaban:
cuma guru yang tau jawabannya bercada bercada
Penjelasan dengan langkah-langkah:
2x² + 3x - 14 = 0
a = 2 ; b = 3 ; c = -14
penjumlahan akar
p + q = -b/a
p + q = -3/2
perkalian akar
p × q = c/a
p × q = -14/2
p × q = -7
akar barunya (2p + 1) dan (2q + 1)
misal akar barunya m dan n maka
m = (2p + 1) dan n = (2q + 1)
m + n
= (2p + 1) + (2q + 1)
= 2p + 2q + 2
= 2(p + q) + 2
= 2(-3/2) + 2
= -3 + 2
= -1
m × n
= (2p + 1) (2q + 1)
= 4pq + 2p + 2q + 1
= 4pq + 2(p + q) + 1
= 4(-7) + 2(-3/2) + 1
= -28 - 3 + 1
= -30
persamaan kuadrat baru
x² - (m + n)x + m.n = 0
x² - (-1)x + (-30) = 0
x² + x - 30 = 0
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Jawaban:
cuma guru yang tau jawabannya bercada bercada
Penjelasan dengan langkah-langkah:
2x² + 3x - 14 = 0
a = 2 ; b = 3 ; c = -14
penjumlahan akar
p + q = -b/a
p + q = -3/2
perkalian akar
p × q = c/a
p × q = -14/2
p × q = -7
akar barunya (2p + 1) dan (2q + 1)
misal akar barunya m dan n maka
m = (2p + 1) dan n = (2q + 1)
penjumlahan akar
m + n
= (2p + 1) + (2q + 1)
= 2p + 2q + 2
= 2(p + q) + 2
= 2(-3/2) + 2
= -3 + 2
= -1
perkalian akar
m × n
= (2p + 1) (2q + 1)
= 4pq + 2p + 2q + 1
= 4pq + 2(p + q) + 1
= 4(-7) + 2(-3/2) + 1
= -28 - 3 + 1
= -30
persamaan kuadrat baru
x² - (m + n)x + m.n = 0
x² - (-1)x + (-30) = 0
x² + x - 30 = 0