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Solve the following equation by completing the square:

1/4x^2 +x + 1/4

A.

x = -2 + square root of 3 or x = 2 - square root of 3

B.

x = 2 + square root of 3 or x = 2 - square root of 3

C.

x = -2 + square root of 3 or x = -2 - square root of 3

D.

x= 1 or x = -5

The answer to your question is letter C.

Step-by-step explanation:

Equation

Process

1.- Multiply the equation by 4

Simplify

                            x² + 4x + 1 = 0

2.- Complete the trinomial

                           x² + 4x        = -1

                           x² + 4x + (2)² = -1 + (2)²

                           (x + 2)² = -1 + 4

                           (x + 2)² = 3

                            x + 2 =±

Solve for x

                        x₁ = -2 +       and x₂ = -2 -                

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step-by-step explanation:

step by step resolutions

1) n+n+1+n+2=51

3n+3=51

3n=48

n=16

the three numbers are 16, 17 and 18.

2) x+15=4x

3x=15

x=5

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3) the two digits are x and y.

y=3x

(10x+y)+(10y+x)=88

y=3x

11x+11y=88

y=3x

x+y=8

x+3x=8

x=2

the original number can be either 28 or 82.

4) n+(n+2)+(n+4)=48

3n+6=48

3n=42

n=14

the numbers are 14, 16 and 18.

5) y=x+3

10y+x+10x+y=143

y=x+3

11x+11y=143

y=x+3

x+y=13

x+x+3=13

2x=10

x=5

the original number can be 57 or 75.

hope this !