Question

If one root of the polynomial P(y) = 5y² +13y +m is reciprocal of other, then the value

of m is_________​

Answer 1

Answer:

Sum of roots = -b/a

product of roots = c/a

Let the roots be x , 1/x..[since one root is reciprocal of other]

x + 1/x = -13/5

x*1/x = m/5

1 = m/5

m = 5

Step-by-step explanation:

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Answer 2

Answer:

Let the roots a and 1/a

Then a(1/a)=m/5

1=m/5

m=5