A quadratic equation is shown below: 9x2 - 16x + 60 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. Part B: Solve 4x2 + 8x - 5 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. Part C: Solve 2x2 -12x + 5 = 0 by using a method different from the one you used in Part B. Show the steps of your work.

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A quadratic equation is shown below: 9x2 - 16x + 60 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. Part B: Solve 4x2 + 8x - 5 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. Part C: Solve 2x2 -12x + 5 = 0 by using a method different from the one you used in Part B. Show the steps of your work.

Mathematics
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for part a would I solve by using the quadratic formula? @Hero
then for part b by finding the zeros?

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and for part c by completing the square?
Yes, use the quadratic formula for part A
ok hang on one sec
Try factoring for part B
Complete the Square for part C
this is what I got for part A what does it mean??
ok factor for part b: (2x+5)(2x−1) which shows the x-intercepts of x=−5/2,1/2
Actually, what I believe you're supposed to do is use b^2 - 4ac to determine if part A has any real solutions.
Part C: x=3± 26‾‾‾√ 2
If b^2 - 4ac is negative, then the solutions for the equation for part A are not real.
ok thats what I did but i got that answer, so woulf that mean that it has no solutions??
so are they negative?
Compute b^2 - 4ac
there is not solutions because when you plug in 16^2 -4(9)(60) you get 32 - 2160 = -2128
Well, whatever the number is, it IS negative, but the number is not correct.
would i only show my work up to there and then determine that there is no solutions @Hero
I believe that's the intent, yes.
ok thank you and for part b and c factor one and complete the square for the other?
Yes, correct.
but what would i put to say why i choose it?
also I have another question for you can you help? @Hero
Post it as a separate question.
@TheSmartOne what would I write to say why I choose factoring for part b and completing the square for part c?
Because there are only 3 ways to solve a quadratic equation - Factoring, Completing the Square, and the Quadratic Formula so you had to chose one of them, and then chose another method. :)
thanks so much! @TheSmartOne

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