. If a
and b are the roots of the equation x2
-kx+16=0 and satisfy a2
+b2
=32 . Then find the value of k.
Answers
Answered by
3
Step-by-step explanation:
(a+b+c)
2
=a
2
+b
2
+c
2
+2ab+2bc+2ca
⇒(a+b+c)
2
=a
2
+b
2
+c
2
+2(ab+bc+ca)
Given,
ab+bc+ca=10,a
2
+b
2
+c
2
=16
⇒(a+b+c)
2
=16+2(10)
a+b+c=
16+20
=6
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