It is given 5 and h + 1 are the roots of the quadratic equation x² + (k - 1)x - 5 = 0,where h and k are constant.Find the value of h and k.
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Respuesta :

Answer:

h=-2

k=-3

Step-by-step explanation:

in ax²+bx+c=0

sum of roots=-b/a

product of roots=c/a

sum of roots=5+h+1=h+6

product of roots=5(h+1)

so h+6=-(k-1)/1

so h+6=-k+1

h+k=1-6

h+k=-5

and 5(h+1)=-5/1

5(h+1)=-5

h+1=-5/5=-1

h=-1-1=-2

-2+k=-5

k=-5+2=-3