What are the solutions to the equation completesquare 4x-5-x^2 ?

The solutions to the equation completesquare 4x-5-x^2 are -(x-2)^2-1

Find the zeros of completesquare 4x-5-x^2

The zeros of completesquare 4x-5-x^2 are -(x-2)^2-1

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complete the square

4 x - 5 - x^{2}

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

Solution steps

4 x - 5 - x^{2}

Write in the standard form

a x^{2} + b x + c

- x^{2} + 4 x - 5

Write

- x^{2} + 4 x - 5

in the form:

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

Factor out

- 1

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

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

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

Simplify

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

12 y^{2} - 18 y - 54 = 0, 2 y^{2} - 3 y - 9 = 0

2 (x + 5)^{2} = 12

x^{2} - 4 x - 13

x^{2} - 9 x + x = 0

x^{2} - 4 x + 29

What are the solutions to the equation completesquare 4x-5-x^2 ?
The solutions to the equation completesquare 4x-5-x^2 are -(x-2)^2-1
Find the zeros of completesquare 4x-5-x^2
The zeros of completesquare 4x-5-x^2 are -(x-2)^2-1