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.

right

step-by-step explanation:

wholesale price is the initial price before markup. retail price comes after the markup.

a price of 8 bucks that's marked up by 100%   is

formula: initial price + (percent markup in fraction/decimal)(initial price)

8+(1)(8)

8+8

16

retail price is $16.