Question

if alpha and beta are the zeros of the polynomiyal f(x)=25x^2+2x+5 then find the value of 1/alpa^2+1/beta^2

Answer 1

Answer:

given that,

x²-5x+k

sum of zeroes =-b/a

a+b=-(5)/1

a+b=5

product of zeroes=c/a=k/1

Now solving the equation,

a+b=5

a-b=1

_____

2b=4

b=4/2

b=2

Now,

a-b=1

a-2=1

a=3

Again,

ab=c/a

3*2=k/1

k=6

that's all

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