What are the solutions to the equation completesquare-x^2+8x+5 ?

The solutions to the equation completesquare-x^2+8x+5 are -(x-4)^2+21

Find the zeros of completesquare-x^2+8x+5

The zeros of completesquare-x^2+8x+5 are -(x-4)^2+21

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complete the square

- x^{2} + 8 x + 5

- (x - 4)^{2} + 21

Solution steps

- x^{2} + 8 x + 5

Write

- x^{2} + 8 x + 5

in the form:

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

Factor out

- 1

- (x^{2} - 8 x - 5)

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

- (x^{2} - 8 x - 5 + (- 4)^{2} - (- 4)^{2})

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

x^{2} - 8 x + (- 4)^{2} = (x - 4)^{2}

- ((x - 4)^{2} - 5 - (- 4)^{2})

Simplify

- (x - 4)^{2} + 21

x, m x^{2} + 2 x - 2 = 0

2 (x - 5)^{2} = 17

2 x^{2} - 12 x = 3

3 (x + 6) = x^{2}

x^{2} - 2 b x^{2} + b^{2} - a = 0

What are the solutions to the equation completesquare-x^2+8x+5 ?
The solutions to the equation completesquare-x^2+8x+5 are -(x-4)^2+21
Find the zeros of completesquare-x^2+8x+5
The zeros of completesquare-x^2+8x+5 are -(x-4)^2+21