mclendonalex mclendonalex
  • 11-05-2020
  • Mathematics
contestada

Rewrite the equation by completing the square. 4x ^ 2 + 8x + 3 = 0

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 11-05-2020

Answer:

(x+1)^2 = 1/4

Step-by-step explanation:

4x ^ 2 + 8x + 3 = 0

Subtract 3 from each side

4x ^ 2 + 8x + 3-3 = 0-3

4x ^ 2 + 8x  = -3

Divide each side by 4

x^2 +2x = -3/4

Take the coefficient of x

2

divide by 2

2/2 =1

Then square it

1^2 =1

Add this to each side

x^2 +2x = -3/4

x^2+2x+1 = -3/4+1

(x+1)^2 = 1/4

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