Question

how to find the roots by completing square 2x^2+x+4=0​

Answer 1

Answer:

2x^2/2 + x/2 + 4/2 = 0

x^2 + x/2 + 2 = 0

x^2 + x/2 = -2

x^2 + (2*1*x)/2×2 + (1/4)^2= -2 + (1/4)^2

(x + 1/4)^2 = -2 + 1/16

(x+ 1/4)^2 = (-32 + 1 )/ 16

x + 1/4 = (√31)/ 4

x = √31/4 - 1/4

x = - √31/4 - 1/4

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