Determine the nature of the roots: 4x^2 + 32x + 64 = 0 a. no real solutions b. a unique real solution c. two distinct real solutions d. cannot be determined

b. a unique real solution

Step-by-step explanation:

A quadratic equation ax² + bx + c = 0 ,

Has two distinct real roots,

If discriminant,

Has two equal real roots,

If D = 0,

Has two imaginary roots or no real roots,

if D < 1,

Here. the given qudratic equation,

By comparing,

a = 4, b = 32, c = 64,

Hence, the equation has two equal real roots or a unique real solution.

i.e. OPTION 'b' is correct.

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s

3

step-by-step explanation: