Without solving, examine the nature of roots of the equations 2 $x^{2}$ – 5x + 5 = 0

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Solution

Step 1:- For, 2 $x^{2}$ – 5x + 5 = 0, value of discriminant D = $(- 5)^{2}$ – 4 ( 2) (5) = 25 -40 = -15 ˂0 .

Step 2:- Since, D ˂0, roots of the quadratic equation are imaginary.

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