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By the method of completion of squares show that the equation 4x2+3x +5 = 0 has no real roots.
Ans: 4x2+3x+5=0
⇒ x2 + 3/4x + 5 = 0
⇒ x2 + 3/4x + (3/8)2= -5/4+9/64
(x+3/8)2 = -71/64
x+3/8 =
Hence QE has no real roots.
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