By the method of completion of squares solve equation, Mathematics

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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)2 = -71/64

x+3/8 =1908_root.png

Hence QE has no real roots.

 


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