Question

find the nature of the roots of the 2x^²-3x+2=0
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Answer 1

$2 {x}^{2} - 3x + 2 = 0 \\ 2 {x}^{2} - 4x + x + 2 = 0 \\ 2x(x - 2) + 1(x - 2) = 0 \\ (2x + 1) (x - 2) = 0 \\ x = \frac{1}{2} or2$

Nature of roots real and distinct