Question

If one root of the polynomial p(x)=5x²-26x+k is reciprocal of the other,then the value of k isImmersive Reader

Answer 1

Answer:

5

Step-by-step explanation:

Given:

p(x)=5x^2-26x+k

Let the roots be a,b

given that one root is reciprocal of other

i.e a=1/b

ab=1[product of roots=1]

p(x) will be in form px^2+qx+r

sum of the roots=-q/p

product of roots=r/p

So we can equate to product of roots

k/5=1

k=5

The value of k=5