Asked by Arnau
The roots of the polynomial f(x)=7x2+31x+c=0 are reciprocals of each other. What is the value of c?
Answers
Answered by
Steve
we know the discriminant d^2 = 961-28c
so, the roots are
(-31 + √(961-28c))/14
and
(-31 - √(961-28c))/14
since they are reciprocals,
(-31 - √(961-28c))/14 = 14/(-31 + √(961-28c))
961-(961-28c) = 196
c = 7
so, the roots are
(-31 + √(961-28c))/14
and
(-31 - √(961-28c))/14
since they are reciprocals,
(-31 - √(961-28c))/14 = 14/(-31 + √(961-28c))
961-(961-28c) = 196
c = 7
Answered by
Justin Perry
3(x+6)+8x=
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