Question

Find the nature of the roots of the quadratic equation if real roots exist2x²-3x+5=0

Answer 1

$given \\ 2 {x}^{2} - 3x + 5 = 0 \\ calculating \: delta \: for \: nature \: of \: roots \\ {( - 3)}^{2} - 4(2)(5) \\ = 9 - 40 \\ = - 31 \\ < 0 \\ = > roots \: are \: imaginary \: and \:are \: pair \: of \: surds$
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