What are the solutions to the equation completesquare-x^2+4x-9 ?

The solutions to the equation completesquare-x^2+4x-9 are -(x-2)^2-5

Find the zeros of completesquare-x^2+4x-9

The zeros of completesquare-x^2+4x-9 are -(x-2)^2-5

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complete the square

- x^{2} + 4 x - 9

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

Solution steps

- x^{2} + 4 x - 9

Write

- x^{2} + 4 x - 9

in the form:

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

Factor out

- 1

- (x^{2} - 4 x + 9)

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

- (x^{2} - 4 x + 9 + (- 2)^{2} - (- 2)^{2})

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

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

- ((x - 2)^{2} + 9 - (- 2)^{2})

Simplify

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

- x^{2} + 4 x - 5

- x^{2} + 4 x + 1

5 u^{2} + 20 u = 0

7 f + f^{2} = 60

5^{2} - 2^{2} = x^{2}

What are the solutions to the equation completesquare-x^2+4x-9 ?
The solutions to the equation completesquare-x^2+4x-9 are -(x-2)^2-5
Find the zeros of completesquare-x^2+4x-9
The zeros of completesquare-x^2+4x-9 are -(x-2)^2-5