Question

A quadratic equation is shown below:

x2 + 5x + 4 = 0

Part A: Describe the solution(s) to the equation by just determining radicand. Show your work. (3 points)

Part B: Solve 4x2 -12x + 5 = 0 using an appropriate method. Show the steps of your work, and explain why you chose the method used. (4 points)

Part C: Solve 2x2 -10x + 3 = 0 by using a method different from the one you used in Part B. Show the steps of your work. (3 points)

Answer 1

B 4x2 - 12x + 5 = 0
4x2 - 2x -10x +5 = 0
2x(2x -1) - 5(2x -1)= 0
(2x-5) (2x-1) =0
2x-5=0 2x-1=0
2x=5 2x=1
x=5/2 x=1/2

Answer 2

So that is the splitting method right?

Answer 3

factorization

Answer 4

2x2-10x+3=0
a=2 b=10 c= 3

Answer 5

now u can solve it by quadratic formula
square root b2 - 4ac

Answer 6

And how exactly would you do that?

Answer 7

I understand the first part and group factoring i just dont understand the quadratic formula square root thing he said

Answer 8

And im still kind of confused about Part A and how to tell what the solutions are just by looking at a radicand?

Answer 9

the quadratic formula is

\[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]

it can be used for a quadratic in the form

\[ax^2 + bx + c = 0\]

Answer 10

part A is asking you to use the discriminant

\[\Delta = b^2 - 4ac\]

to determine the type of solutions you will have

2 unequal real rational roots, 2 unequal real irrational roots or no real roots... which means the solutions are complex numbers

Answer 11

What exactly is a radicand?

Answer 12

radicand is the part inside a square root...

in this case it is referring to the general quadratic formula... it is more commonly known as the discriminant