What are the solutions to the equation completesquare-4x^2+4x+13 ?

The solutions to the equation completesquare-4x^2+4x+13 are -4(x-1/2)^2+14

Find the zeros of completesquare-4x^2+4x+13

The zeros of completesquare-4x^2+4x+13 are -4(x-1/2)^2+14

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complete the square

- 4 x^{2} + 4 x + 13

- 4 (x - \frac{1}{2})^{2} + 14

Solution steps

- 4 x^{2} + 4 x + 13

Write

- 4 x^{2} + 4 x + 13

in the form:

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

Factor out

- 4

- 4 (x^{2} - x - \frac{13}{4})

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

Add and subtract

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

- 4 (x^{2} - x - \frac{13}{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{13}{4} - (- \frac{1}{2})^{2})

Simplify

- 4 (x - \frac{1}{2})^{2} + 14

y^{2} + y^{2} = 1

w^{2} - 4 w - 3 = 0

x, f = u^{1} (x^{2})

400 - x^{2} = 60 x - 300

3 x^{2} + 11 x = - 5

What are the solutions to the equation completesquare-4x^2+4x+13 ?
The solutions to the equation completesquare-4x^2+4x+13 are -4(x-1/2)^2+14
Find the zeros of completesquare-4x^2+4x+13
The zeros of completesquare-4x^2+4x+13 are -4(x-1/2)^2+14