What are the solutions to the equation completesquare 5-6x-x^2 ?

The solutions to the equation completesquare 5-6x-x^2 are -(x+3)^2+14

Find the zeros of completesquare 5-6x-x^2

The zeros of completesquare 5-6x-x^2 are -(x+3)^2+14

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complete the square

5 - 6 x - x^{2}

- (x + 3)^{2} + 14

Solution steps

5 - 6 x - x^{2}

Write in the standard form

a x^{2} + b x + c

- x^{2} - 6 x + 5

Write

- x^{2} - 6 x + 5

in the form:

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

Factor out

- 1

- (x^{2} + 6 x - 5)

2 a = 6 : a = 3

Add and subtract

3^{2}

- (x^{2} + 6 x - 5 + 3^{2} - 3^{2})

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

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

- ((x + 3)^{2} - 5 - 3^{2})

Simplify

- (x + 3)^{2} + 14

(2 x + 3)^{2} = 36

(2 x + 3)^{2} = 20

x^{2} + 12 x + 8 = 0

2 x^{2} - 15 = 0

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

What are the solutions to the equation completesquare 5-6x-x^2 ?
The solutions to the equation completesquare 5-6x-x^2 are -(x+3)^2+14
Find the zeros of completesquare 5-6x-x^2
The zeros of completesquare 5-6x-x^2 are -(x+3)^2+14