anonymous
  • anonymous
Find the solutions of the function by completing the square. If this method cannot be used explain why. I already did it I need help.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
y = 0.05x^2 -x +1 20y=x^2 - 20x + 20 20y-20=x^2-20x 20y+80= x^2 - 20x + 100 20y+80=(x - 10)^2 20y=(x-10)^2-80 y=(0.05)(x - 10)^2-4
anonymous
  • anonymous
I completed the square what does it want from me?
anonymous
  • anonymous
jdoe?

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jdoe0001
  • jdoe0001
well, finding the solutions means, finding the "roots" or zeros of the quadratic equation
jdoe0001
  • jdoe0001
so you'd set y = 0 and solve for "x", to get the 2 roots
anonymous
  • anonymous
ok...
jdoe0001
  • jdoe0001
\(\bf y=(0.05)(x - 10)^2-4 \implies y = \cfrac{5}{100}(x - 10)^2-4\\ \textit{setting y = 0}\\ 0 = \cfrac{5}{100}(x - 10)^2-4 \implies 4= \cfrac{5}{100}(x - 10)^2\\ 80=(x - 10)^2 \implies \pm\sqrt{80} = x-10\\ ---------------------\\ 80 = 2 \times 2 \times 2\times 2\times 5\implies 2^4\times 5 \implies (2^2)^2 \times 5\\ ---------------------\\ \pm\sqrt{80} = x-10 \implies \pm\sqrt{(2^2)^2 \times 5} = x-10 \implies \pm4\sqrt{5}= x-10\)
anonymous
  • anonymous
holy crap!
jdoe0001
  • jdoe0001
and surely you can get it from there
anonymous
  • anonymous
uhhh
anonymous
  • anonymous
so it cannot be used?
anonymous
  • anonymous
Im so confused
jdoe0001
  • jdoe0001
well, what would be the values for "x" from there?
anonymous
  • anonymous
the last line you have
jdoe0001
  • jdoe0001
the last line isn't simplified yet
anonymous
  • anonymous
i don't know :(
jdoe0001
  • jdoe0001
well, anyhow, the completion was fine btw... so \({\bf 4\sqrt{5}= x-10 \implies} \begin{cases}+4\sqrt{5}+10=& x\\ -4\sqrt{5}+10=& x\\ \end{cases}\)
anonymous
  • anonymous
that's all it's asking??? lol...
jdoe0001
  • jdoe0001
yeah, it's asking for the "zeros" or "roots", which would be the "solutions" so using your square completion, we did find them
anonymous
  • anonymous
ohh thank you so much
jdoe0001
  • jdoe0001
yw

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