Math, asked by connor74, 1 year ago

if p and q are the roots of x^2+2x+1=0 then the value of p^3+q^3 is

Answers

Answered by viswabhargav
3

p³+q³ = (p+q)³-3pq(p+q)

From given equation x²+2x+1=0;

sum of roots p+q = -x coefficient/x² coefficient = -2

Product of roots pq=constant term/x² coefficient = 1

So p³+q³ = (-2)³-3(1)(-2) = -8+6 = 2


connor74: wrong answer bai
viswabhargav: theres a sign mistake its -8 +6 = -2
connor74: ya
connor74: but in text it is 2
viswabhargav: No the roots are -1 and -1 so (-1)^3+(-1)^3=-2
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