What are the solutions to the equation completesquare 4x^2+4x+5 ?

The solutions to the equation completesquare 4x^2+4x+5 are 4(x+1/2)^2+4

Find the zeros of completesquare 4x^2+4x+5

The zeros of completesquare 4x^2+4x+5 are 4(x+1/2)^2+4

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complete the square

4 x^{2} + 4 x + 5

4 (x + \frac{1}{2})^{2} + 4

Solution steps

4 x^{2} + 4 x + 5

Write

4 x^{2} + 4 x + 5

in the form:

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

Factor out

4

4 (x^{2} + x + \frac{5}{4})

2 a = 1 : a = \frac{1}{2}

Add and subtract

(\frac{1}{2})^{2}

4 (x^{2} + x + \frac{5}{4} + (\frac{1}{2})^{2} - (\frac{1}{2})^{2})

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

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

4 ((x + \frac{1}{2})^{2} + \frac{5}{4} - (\frac{1}{2})^{2})

Simplify

4 (x + \frac{1}{2})^{2} + 4

x^{2} - 25 x + 100 = 0

x^{2} - 0.4 x - 1.2 = 0

x^{2} - 20 x - 300 = 0

k^{2} + 2 k - 35 = 0

x, 9 x^{2} - y^{2} - 36 x - 6 y + 27 = 0

What are the solutions to the equation completesquare 4x^2+4x+5 ?
The solutions to the equation completesquare 4x^2+4x+5 are 4(x+1/2)^2+4
Find the zeros of completesquare 4x^2+4x+5
The zeros of completesquare 4x^2+4x+5 are 4(x+1/2)^2+4