minimum value of function | Revision Server | Page 1

woeful hatch Dec 15, 2022, 8:52 PM

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took longer than i would like to admit to try and spell minmium

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idk how to answer this but i think its obvious bc i posted on this channel

ancient star Dec 15, 2022, 8:57 PM

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-12?

woeful hatch Dec 15, 2022, 9:00 PM

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how did u work it out? idk where to start

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do you just sub the numbers in or something easy like that

ancient star Dec 15, 2022, 9:02 PM

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so the equation is the same as 2^2x - 8 * 2^x + 4

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does that look similar to anything youve done before?

woeful hatch Dec 15, 2022, 9:12 PM

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is it the thing where you say let y = 2^x?

ancient star Dec 15, 2022, 9:12 PM

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try it

lyric ermine Dec 15, 2022, 11:08 PM

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Wait so u get k^2-8k+4

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When u graph it u get y equals that

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So the roots of it are k=4 +- 2 root3

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So 2^x is that

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So u log both said and factor out x on LHS so u get x= log(4+-2root3)/log 2

ancient star Dec 16, 2022, 7:21 AM

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With k^2 -8k + 4

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You complete the square and find the turning point

#minimum value of function