Question

4x^2+kx+25=0

Find Values of k that ensure that the given equation has exactly one solution

Answer 1

Anyone get this?

Answer 2

4x^2+kx+25=0 is in the form ax^2+bx+c=0

where a = 4, b = k, c = 25

Answer 3

"Find Values of k that ensure that the given equation has exactly one solution"

so this means the discriminant D is equal to 0

The discriminant formula is D = b^2 - 4ac

Answer 4

plug in a = 4, b = k, c = 25 and D = 0

then solve for k

Answer 5

K+/- 20

Answer 6

so if there wasn't one solution? you can use quadratic formula?

Answer 7

yes k = 20 or k = -20 will make 4x^2+kx+25=0 have exactly one solution for x

Answer 8

if you want 4x^2+kx+25=0 to have exactly 2 solutions, then you would look for values of k that make D > 0 true


if you want 4x^2+kx+25=0 to have no real solutions, then you would look for values of k that make D < 0 true