Question

Solve general solutions 200" id="TexFormula1" title=" \sqrt{3tan \:} (2x - 10) + 1 = 0" alt=" \sqrt{3tan \:} (2x - 10) + 1 = 0" align="absmiddle" class="latex-formula">
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Answer 1

$\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}+1=0$

$\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}=-1$

$\\ \rm\Rrightarrow 3tan(2x+10)=1$

$\\ \rm\Rrightarrow tan(2x+10)=1/3$

• 1/3=0.33..
• tan^{-1}(0.33)≈18

$\\ \rm\Rrightarrow 2x+10=18$

$\\ \rm\Rrightarrow 2x=8$

$\\ \rm\Rrightarrow x=4$