Question

Find the values of k for which the roots are real and distinct in each of the following equations. a) kx^2 + 2x +1

Answer 1

will be > 0 for the equation to have real and distinct roots...

a = k, b = 4, c = 1

b2 - 4ac > 0

16 - 4(k)(1) > 0

16 - 4k > 0

4k<16

k < 4

so k can have any value less than 4