Question

the smallest integral value of "c" that will produce imaginary roots in the equation 4x^2-7x+c=0 is
(1) 1
(2) 2
(3) 3
(4) 4

Answer 1

discriminant

Answer 2

b^2 - 4ac is less than 0,, then it would have imaginary roots

Answer 3

(-7)^2 - 4(4)(c)

49 - 16c < 0

49 < 16c

49/16 < c

3.0625 < c

Answer 4

would the answer be four then because 3.0625 is less than 0?

Answer 5

if you have this
\[b^2-4ac<0\]
then you have imaginary solutions

Answer 6

\[(-7)^2-4(4)c<0\]
money just solved this inequality