Question

Without solving the equation 2x2-3x+5=0,state the nature of its roots.

Answer 1

$a = 2 \\ b = - 3 \\ c = 5 \\ {b}^{2} - 4ac \\ = {( - 3})^{2} - 4(2)(5) \\ = 9 - 40\\ = - 31 \\ - 31< 0 \\ therefore \: roots \: are \: not \: real$
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