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