Let a, B be the roots of x2 - 14x - 2 = 0 with a > B. If S = "- B" for n 2 1. then find the S. 250 Sii value of s12 - S10÷s11
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0
Answer:
Correct option is
C
3
α and β are the roots of the equation
x
2
−6x−2=0
α
2
=6α+2
α
10
=6α
9
+2α
8
−−−−−−−−−−(i)
β
10
=6β
9
+2β
8
−−−−−−−−−−−−−−−(ii)
Subtracting equation (ii) from (i)
⇒α
10
−β
10
=6(α
9
−β
9
)+2(α
8
−β
9
)
⇒a
10
=6a
9
+2a
8
(∴a
n
=a
n
−β
n
)
⇒a
10
−2a
8
=6a
9
⇒
2a
9
a
10
−2a
8
=3
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Answer:
soil is the uppermost layer of the earth's crust
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