if two roots of x^2+5x-1=0 are α and β then find α^2 + β^2
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Answered by
1
Answer:
by newton theorem on powers
p1+5=0
p1=-5
p2+5p1-2=0
p2-25-2=0
p2=27
α^2 + β^2=27
Step-by-step explanation:
Answered by
1
Step-by-step explanation:
x2+5x-1=0
a^2+b^2=?
a+b=-b/a=-5
ab=c/a=-1
a^2+b^2=(a+b)^2-2ab
=(-5)^2-(-1)
=25+2
=27
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