diketahui p(x)= 4x^3-2x^2+1 dan q(x)= x^4-nx^2+2. jika r(x)=p(x)-q(x) dan r(2)=39 makan n =...
Matematika
afrizal64
Pertanyaan
diketahui p(x)= 4x^3-2x^2+1 dan q(x)= x^4-nx^2+2. jika r(x)=p(x)-q(x) dan r(2)=39 makan n =...
2 Jawaban
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1. Jawaban Jawer17
r(x) = p(x) - q(x)
= 4x³ - 2x² + 1 - (x^4 - nx² + 2)
= 4x³ - 2x² - x^4 + nx² - 1
untuk r(2) = 39
4(2)³ - 2(2)² - 2^4 + n(2)² - 1 = 39
32 - 8 - 16 + 4n - 1 = 39
4n = 32
n = 8 -
2. Jawaban Sutr1sn0
r(x) = p(x) - q(x)
= [4x^3 - 2x^2 + 1] - [x^4 - nx^2 + 2]
r(2) = [4×2^3-2×2^2+1] - [2^4-n×2^2+2] = 39
= [4×8-2×4+1] - [16-n×4+2] = 39
= [32-8+1] - [16-4n+2] = 39
= [25] - [18-4n] = 39
= 25 - 18 + 4n = 39
= 7 + 4n = 39
= 4n = 39 - 7
4n = 32
n = 32/4
n = 8