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√3 x2 + 2√2 x – 2√3 = 0

(iv) √3 x2 + 2√2 x – 2√3 = 0

Sol. √3 x2 + 22 x – 23 = 0
Comparing with ax2 + bx + c = 0 we have a = 3 , b = 22 , c = –23
∆  = b2 – 4ac
= (22)2  – 4 (3) (–2 3)
= (4 × 2) + (8 × 3)
= 8 + 24
= 32

∴ ∆  = 32