Question

If the value of the polynomial x2+5x+k is 5the value of k will be

Answer 1

Answer:

k =(-50)

Step-by-step explanation:

given,

x²+5x+k=0

by comparing the given equation with general form we get,

a=1

b=5

c=k

now

one of the root is 5, select the another root be 'm'

now we know that the sum of the roots of the quadratic equation =-b/a

=>5+m=-b/a

= -5/1

= -5

=>m = -5-5

=>m = -10

therefore, the other root is -10

now we know that product of root =c/a

=>5m=k/1

=>5m=k

=>k=5m

=>k=5m

now putting the value of 'm'we get

=> k=5×(-10)

=> k= -50

HENCE ,

value of k is -50

HOPE IT HELPS !!!