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# Determine the nature of the roots of the equation.

2x^{2} – 3x + 4 = 0

Answer :

2x^{2} – 3x + 4 = 0

⇒ a = 2, b = –3 and c = 4

= (–3)^{2}– 4(2)(4)

9 – 32

= –23

∴ b^{2} – 4ac < 0. hence, roots are not real.

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