anonymous
  • anonymous
please help me!! Solve for x and express roots in a + bi form: x^2/4 = 2x-10 and can you tell me how you got it?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
do you want to solve \[\frac{ x ^{2} }{4 }=2x-10\]
anonymous
  • anonymous
yes
anonymous
  • anonymous
\[x ^{2}=8x-40\] \[x ^{2}-8x=-40\] complete the squares by adding(co-efficient of x/2)^2

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anonymous
  • anonymous
i forgot how to complete the squares
anonymous
  • anonymous
i told you add(-8/2)^2 ,i.e., 16
anonymous
  • anonymous
ohhh thanks
anonymous
  • anonymous
show me your work if any difficulty i will guide you.
anonymous
  • anonymous
x^2 - 8x + 16 = -24
anonymous
  • anonymous
write L.H.S as (a-b)^2 and R.H.S -1*24
anonymous
  • anonymous
\[\left( x-4 \right)^{2}=4*6*-1=4*6*\iota ^{2}=\left( 2\sqrt{6}\iota \right)^{2}\]
anonymous
  • anonymous
\[x-4=\pm 2\sqrt{6}\iota \] now write the two values of x
anonymous
  • anonymous
x = \[4\pm 2i \sqrt{6}\]
anonymous
  • anonymous
these are two solutions one with + sign and the other negative sign.
anonymous
  • anonymous
\[x=4+2\sqrt{6}\iota ,and x=4-2\sqrt{6}\iota \]
anonymous
  • anonymous
okay. i get it now. thank you so much!
anonymous
  • anonymous
yw

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