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

x^2 +5x +4 =0
(x+4)(x+1) =0

Answer 2

a=1 b=5 c=4
the radicand is square root of b^2 - 4*a*c

Answer 3

smartballerina01
do you want to finish solving the radicand?

Answer 4

Weird. The radicand is what is under a radical. I think they mean the discriminant?

Answer 5

Ive never heard of a radicand..

Answer 6

I think they mean discriminant

Answer 7

Part B: this can be factored

using the ac method would work here

Answer 8

ac is first coefficient times last = 20.
-2 * -10 = 20 so try these :

4x^2 - 12 x+ 5 = 0

4x^2 - 10x - 2x + 5 = 0

4x^2 - 2x - 10x + 5 = 0


factor by grouping

2x(2x - 1) - 5(2x - 1) = 0


now take out 2x - 1

can you continue?

Answer 9

if you take out 2x - 1 what is left?