Question

find he roots of the quadratic equation √3x²-2x-√3=0​

Answer 1

Step-by-step explanation:

$\large\underline{\underline\bold\red{Question :- }}$

Find the roots of the quadratic equation :-

$\large {\bold{ → \sqrt{3 {x}^{2} } - 2x - \sqrt{3} = 0 }}$

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$\large\underline{\underline\bold\red{Answer→}}$

$\large {\bold{➡ \: \sqrt{3 {x}^{2} } - 2x - \sqrt{3} = 0 }}$

$\large {\bold{➡ \: \sqrt{3 {x}^{2} } - 3 x + x - \sqrt{3} = 0 }}$

$\large {\bold{➡ \: \sqrt{3 {x}}(x - \sqrt{3} ) + 1(x - \sqrt{3}) = 0 }}$

$\large {\bold{➡ (x - \sqrt{3} ) + ( \sqrt{3} x + 1) = 0 }}$

$\large {\bold{➡ \: x = \sqrt{3}, \frac{ - 1}{ \sqrt{3} } }}$

$\large \green{ \fcolorbox{gray}{black} {\textbf{Hence, Verified ☑ }}}$

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