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Hunter-Best [27]
3 years ago
9

Which of the following are solutions to the equation below? Check all that apply. 4x2 - 12x + 9 = 5​

Mathematics
1 answer:
Anika [276]3 years ago
4 0

Step-by-step explanation:

4x² - 12x + 9 = 5 → 4x² - 12x + 4 = 0 → x² - 3x + 1 = 0

∆ = b² - 4ac → ∆ = (-3)² -4(1)(1) = 9 - 4 = 5

x = (-(-3) ± √5)/2(1) = (3 ± √5)/2

x² - 3x + 1 = 0 → (x - 3/2)² - 9/4 + 1 = 0 → (x - 3/2)² = 5/4 → x - 3/2 = ±√5 / 2 → x = ½( 3 ± √5)

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      A student is sitting at a desk, getting ready for a math test.

Oh...no…I’m in big trouble. In all the days, why today do we have to have a pop quiz in math? I didn’t EVEN study! I just hate math! Ever since I started algebra, math has gotten harder and harder! Every time I look at an equation, the numbers get all mixed up and jumbled in my brain, and I try to remember the way to solve the problem. And by the time I find out how to solve that problem, HALF of the class is already DONE! But today might be a different day. Like they say, if you believe in yourself, anything is possible. Oh,no, Mr. Boyd is coming! (The teacher places the quiz in front of her/him.) (She/he looks at the quiz.) Oh, this doesn’t look half as bad. Ok, if  two x plus fifty equals four x plus nine, then you bring the two over and… oh no! I forgot what you do next! (Sighs) ok, focus, focus. Breathe in, and breathe out.(Sighs) Ok, I got this.(Completes the rest of the quiz without a problem.) Finished! (Teacher comes by to collect his/her work.) Ok, I think I did good. I swear for the REST of my life I will never do a math problem again!

 

Step-by-step explanation:

Hope you like it. I have hard time with Algebra.

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