Question

Find value of k in the equation kx2 + 2x +7= 0 given that the roots of the equation are identical

Answer 1

Step-by-step explanation:

Compare this to the general quadratic formula: b²-4ac we see that a=k; b = 2; c=7. Therefore b²-4ac is 4²-4k7 = 16–28k. Next:

4–28k<0

-28k<-4

k<-4/-28

k<1/7

When k is less than or equal to 1/7 then kx²+2x+7 will have real roots.

Then k greater than 1/7 will have no real roots