Question

If one zero of the polynomial f(y) = (m2 + 4 )y2 + 13y + 4m is reciprocal of the other , then m is equal to​

Answer 1

Answer:

let one root be x then other root will be 1/x

f(y)=( m^2+4)y^2 + 13y+ 4m=0

product of the zeros = x(1/x)= 1

we know that in a quadratic equation of the form:

ax^2+bx+c=0

product of the roots or zeros = c/a

so in the equation given ,

product of the roots is 4m/(m^2+4)

4m/(m^2+4)=1

m^2 -4m+4=0

(m-2)^2=0

m=2

Answer 2

Answer:

M=2

Step-by-step explanation:

Actually I think, full solution is not needed, kindly go and check it out.