II. Characterize the rootts of the following quadratic equations using the discriminant. Use the example below. Example: 2x² + 8x+6=0
a = 2 b= 8 c= 6
b²-4ac (8²) -4(2)6)
=64-48
= 16 (greater than zero) - roots are real and unequal.
Given: x2-16x + 64 = 0
Given: 3x2 + 6x + 4 = 0
Given: 2x2 - 10x + 6 = 0

Step-by-step explanation:

Note:  x2-16x + 64 = 0 should be written x^2 - 16x + 64 = 0.  The coefficients are a = 1, b = -16 and c = 64.  The discriminant, b^2 - 4ac, is (-16)^2 - 4(1)(64) = 0.  A zero discriminant indicates that there are two equal, real roots.

Note:  3x2 + 6x + 4 = 0 => 3x^2 + 6x + 4.  The coefficients a, b and c are {3, 6, 4} and so the discriminant is b^2 - 4ac, or 36 - 48, or -12. A negative discriminant indicates that there are two complex, unequal roots.

Note:  2x2 - 10x + 6 = 0 => x^2 - 5x + 3, whose coefficients are {1, -5, 3}.  The discriminant is (-5)^2 - 4(1)(3) = 13. A positive discriminant indicates that there are two unequal, real roots.

3x2 + 6x + 4 = 0

Step-by-step explanation:

the mean and mad

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b