Question

For what value(s) of k will the equation x^2 -12x + k = 0 have just one real root?

Answer 1

if it has only one real root that means b^2 - 4ac = 0

so substitute
a = 1
b = -12
c = k

so

(-12)^2 - 4(1)(k) = 0
144 - 4k = 0
add 4k to both sides
144 = 4k
divide both sides by 4
36 = k

does that help?

Answer 2

Yes very much. Thankyou. And if there were more than one value it would be the same equation correct?

Answer 3

if it has two real roots then you use b^2 - 4ac > 0

if it doesnt have any real root you use b^2 - 4ac <0

Answer 4

Oh ok! Thank you so much! I appreciate it!

Answer 5

welcome