What are the solutions to the equation completesquare 2x^2+4x+11 ?

The solutions to the equation completesquare 2x^2+4x+11 are 2(x+1)^2+9

Find the zeros of completesquare 2x^2+4x+11

The zeros of completesquare 2x^2+4x+11 are 2(x+1)^2+9

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complete the square

2 x^{2} + 4 x + 11

2 (x + 1)^{2} + 9

Solution steps

2 x^{2} + 4 x + 11

Write

2 x^{2} + 4 x + 11

in the form:

x^{2} + 2 a x + a^{2}

Factor out

2

2 (x^{2} + 2 x + \frac{11}{2})

2 a = 2 : a = 1

Add and subtract

1^{2}

2 (x^{2} + 2 x + \frac{11}{2} + 1^{2} - 1^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} + 2 x + 1^{2} = (x + 1)^{2}

2 ((x + 1)^{2} + \frac{11}{2} - 1^{2})

Simplify

2 (x + 1)^{2} + 9

m^{2} + 11 m + 3 = - 4 m^{2}

(3 v - 2)^{2} = 5

(x + 2)^{2} = 2 x - 1

a^{1} = 5 x (3 x + 2)

5 x^{2} - 3 x - 3 = 3 x^{2} + 2 x

What are the solutions to the equation completesquare 2x^2+4x+11 ?
The solutions to the equation completesquare 2x^2+4x+11 are 2(x+1)^2+9
Find the zeros of completesquare 2x^2+4x+11
The zeros of completesquare 2x^2+4x+11 are 2(x+1)^2+9