anonymous
  • anonymous
f(x)=2x^2-x-1. If f(x)=-1, what is x?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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bahrom7893
  • bahrom7893
f(x) = -1 means: -1 = 2x^2 - x - 1
bahrom7893
  • bahrom7893
solve for x
anonymous
  • anonymous
I tried to move the -1 over so that the equation would be \[2x^2-x-1+1=0\]

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anonymous
  • anonymous
Now I'm at \[2x^2-x=0\] and I'm not sure what to do next
anonymous
  • anonymous
yes so then: -1 + 1 = 0 so: \[2x^2 - x = 0\]
anonymous
  • anonymous
Oh, factor out an x?
anonymous
  • anonymous
yes
anonymous
  • anonymous
\[x(2x - 1) = 0\]
anonymous
  • anonymous
$$f(x)=-1\\2x^2-x-1=-1\\2x^2-x=0\\x(2x-1)=0\\x=0,2x-1=0\\x\in\left\{0,\frac12\right\}$$
anonymous
  • anonymous
Cool, those are the answers that I got. Thanks :)

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