<img src="https://tex.z-dn.net/?f=8x2%20%3D%202x%20%2B%201" id="TexFormula1" title="8x2 = 2x + 1" alt="8x2 = 2x + 1" align="absm

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BartSMP [9]

4 years ago

iddle" class="latex-formula">

Mathematics

1 answer:

const2013 [10]4 years ago

4 0

$8x^2=2x+1\ \ \ \ |-2x-1\\\\8x^2-2x-1=0\\\\8x^2+2x-4x-1=0\\\\2x(4x+1)-1(4x+1)=0\\\\(4x+1)(2x-1)=0\iff4x+1=0\ \vee\ 2x-1=0\\\\4x+1=0\ \ \ |-1\\4x=-1\ \ \ |:4\\x=-0.25\\\\2x-1=0\ \ \ |+1\\2x=1\ \ \ \ |:2\\x=0.5\\\\Answer:\ x=-0.25\ or\ x=0.5$

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