Question

plz answer question no 1

Answer 1

$\sqrt{2} {x}^{2} - \frac{3}{ \sqrt{2} } x + \frac{1}{ \sqrt{2} } = 0 \\ for \: nature \: of \: roots \: calculate delta \\ i.e \: for \: a {x}^{2} + bx + c = 0 \\ {b}^{2} - 4ac \\ if \: it \: is \: zero \: roots \: are \: real \: and \: equal \\ if \: it \: is \: less \: than \: zero \: roots \: are \: imaginary \: \\ if \: it \: is \: greater \: than \: zero \: roots \: are \: real \: and \: distinct \\for \: a \: b \: c \: < < {real \: numbers} > > \\ now \: here \: \\ {b}^{2} - 4ac = ( { (\frac{ - 3}{ \sqrt{2} } )}^{2} - 4( \frac{1}{ \sqrt{2} } )( \sqrt{2} )) \\ = \frac{1}{2} > 0 \\ = > roots \: are \: real \: and \: distinct$
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