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

u^{2} = 20

- 0.5 x^{2} + 36 x - 522 = 0

2 x^{2} + 40 x = - 72

0 = - 810 a + a^{2} + 256064.9

x^{2} + 12 x + 3 = 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