Question

HELP WITH FLVS ALGEBRA 1

Answer 1

A quadratic equation is shown below:

9x2 - 36x + 36 = 0

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

Part B: Solve 2x2 - 9x + 7 = 0 using an appropriate method. Show the steps of your work and explain why you chose the method used.(4 points)

Part C: Solve 3x2 - 12x + 2 = 0 by using a method different from the one you used in Part B. Show the steps of your work. (3 points)

Answer 2

What exactly do you need help with?

Answer 3

Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (3 points)
.....9x² - 36x + 36 = 0
.....9(x² - 4x + 4) = 0
.....9(x-2)(x-2) = 0
.....Radicand = Discriminant = 36² - 4(9)(36) = 0
.....⇒ there is 1 real zero of miltiplicity 2 (in other words,
.....there is 1 real zero that repeats itself)

.....That zero is x=2.

Part B: Solve 2x^2 - 9x + 7 = 0 using an appropriate method. Show the steps of your work and explain why you chose the method used.(4 points)
.....2x²-9x+7 = 0..........// Use factoring. Factors of 7 are 1 and 7
.....(2x-7)(x-1) = 0
..........2x-7 = 0............(x-1)=0
..........2x = 7................x=1
..........x = 7/2
.....Your solutions are x=1 and x=7/2

Part C: Solve 3x^2 - 12x + 2 = 0 by using a method different from the one you used in Part B. Show the steps of your work. (3 points)
.....3x² - 12x + 2 = 0

............-(-12)±√((-12)²-4(3)(2))
.....x = ---------------------------------....// Solve by Quadratic formula
.....................2(3)

............12±√(144-24)
.....x = --------------------
.....................6

............12±√120
.....x = -------------
.....................6

............12±2√30
.....x = -------------
.....................6

.....x = 2±(1/3)√30