if alpha and beta are the zeroes of the polynomial x2-7x+5 find the value of alpha/beta +beta/alpha
Answers
Answered by
23
Answer:
Step-by-step explanation:
p(x) = x2-7x+5
alpha and beta are the zeroes
alpha + beta = -b/a
= 7/1 = 7
alpha x beta = c/a
= 5/1 = 5
alpha/beta + beta/alpha = (alpha^2 + beta^a) / (alpha x beta)
= [(alpha + beta )^2 - 2 x alpha x beta] / (alpha x beta)
= 49 - 10 / 5
= 39 / 5
Answered by
3
Answer
p(x)=x^-7x+5
=a=1,b=-7,c=5
=alfa+beta=-b/a=7/1
=alfa×beta=5
=a/b+b/a
=a^+b^÷ab
=7^÷5
=49÷5
a=49,b=5
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