Tolong kerjain no 40

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Tolong kerjain no 40

Tolong kerjain no 40

Akar-akar p dan q, maka p+q = -b/a (baca teorema vietta)
p+q = -(-5)/1 = 5
pq = c/a = -1/1= -1

persamaan baru dengan akar-akar 2p+1 dan 2q+1 adalah:
(x^2) – (2p+1  +  2q+1)x + (2p+1)(2q+1) = 0
2p+1  +  2q+1 = 2(p+q) + 2
= 2(5) + 2 = 12
(2p+1)(2q+1) = 4pq +2(p+q) + 1
= 4(-1) + 2(5) + 1 = 7

persmaan barunya: (x^2) – 12x + 7 = 0