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+4

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

The zeros of completesquare-5+6x-x^2 are -(x-3)^2+4

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complete the square

- 5 + 6 x - x^{2}

- (x - 3)^{2} + 4

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} + 4

m^{2} + 2 m + 4 = 0

- x^{2} + 4 x

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

x^{2} + (x + 1)^{2} = (x - 1) (x + 2)

4 x^{2} - 4 x - 11 = - 8

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+4
Find the zeros of completesquare-5+6x-x^2
The zeros of completesquare-5+6x-x^2 are -(x-3)^2+4