Aquadratic equation is shown below: 3x2 − 15x + 20 = 0 part a: describe the solution(s) to the equation by just determining the radicand. show your work. (5 points) part b: solve 3x2 + 5x − 8 = 0 by using an appropriate method. show the steps of your work, and explain why you chose the method used. (5 points)

Step-by-step explanation:

a=3, b=-15, c=20

Discriminant can be calculated as

The roots are imaginary

The solution is

The roots are not real i.e these are imaginary    

a=3, b=5, c=-8

Discriminant can be calculated as

The roots are real

By quadratic formula method

The solution is

which are required roots.

I choose this method because I can get the solutions directly by substituting the values in formula, and I don't have to guess the possible solutions.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)