Hi, so I've been self-teaching myself maths as a hobby for a little while now. And I came across this problem that's confused me a bit. I thought I followed all the necessary steps to simplify it, but my answer book told me I didn't take it that one step further. I'm not sure how it got this final answer and my book frustratingly hasn't taught me how it came to this conclusion.
45x6=9x4
x445x6=x49x4
45x2=9
4545x2=459
x2=51
\(\displaystyle \color{blue}{\sqrt{\strut \color{black}{x^2}\,}}\, =\, \color{blue}{\sqrt{\strut \color{black}{\frac{1}{5}}\,}}\)
\(\displaystyle x\, =\, \color{blue}{\pm}\dfrac{1}{\sqrt{\strut 5\,}}\)
\(\displaystyle \color{red}{ x\, =\, \pm\, \dfrac{\sqrt{\strut 5\,}}{5} }\)
Thanks in advance! (Black and blue is my working out. Red is what I missed according to the answers page)
45x6=9x4
x445x6=x49x4
45x2=9
4545x2=459
x2=51
\(\displaystyle \color{blue}{\sqrt{\strut \color{black}{x^2}\,}}\, =\, \color{blue}{\sqrt{\strut \color{black}{\frac{1}{5}}\,}}\)
\(\displaystyle x\, =\, \color{blue}{\pm}\dfrac{1}{\sqrt{\strut 5\,}}\)
\(\displaystyle \color{red}{ x\, =\, \pm\, \dfrac{\sqrt{\strut 5\,}}{5} }\)
Thanks in advance! (Black and blue is my working out. Red is what I missed according to the answers page)
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