What are the solutions to the equation completesquare 4x^2+4x+10 ?

The solutions to the equation completesquare 4x^2+4x+10 are 4(x+1/2)^2+9

Find the zeros of completesquare 4x^2+4x+10

The zeros of completesquare 4x^2+4x+10 are 4(x+1/2)^2+9

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complete the square

4 x^{2} + 4 x + 10

4 (x + \frac{1}{2})^{2} + 9

Solution steps

4 x^{2} + 4 x + 10

Write

4 x^{2} + 4 x + 10

in the form:

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

Factor out

4

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

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

Add and subtract

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

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

Simplify

4 (x + \frac{1}{2})^{2} + 9

0.2 x^{2} + 0.6 x = x

3 x^{2} - 2 x - 1 = 0

x, 4 x - x^{2} = y

x, x^{2} + y^{2} = x y + 7

2 x^{2} + 14 x - 4 = - x^{2} + 3 x

What are the solutions to the equation completesquare 4x^2+4x+10 ?
The solutions to the equation completesquare 4x^2+4x+10 are 4(x+1/2)^2+9
Find the zeros of completesquare 4x^2+4x+10
The zeros of completesquare 4x^2+4x+10 are 4(x+1/2)^2+9