What are the solutions to the equation completesquare 9+8x-x^2 ?

The solutions to the equation completesquare 9+8x-x^2 are -(x-4)^2+25

Find the zeros of completesquare 9+8x-x^2

The zeros of completesquare 9+8x-x^2 are -(x-4)^2+25

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complete the square

9 + 8 x - x^{2}

- (x - 4)^{2} + 25

Solution steps

9 + 8 x - x^{2}

Write in the standard form

a x^{2} + b x + c

- x^{2} + 8 x + 9

Write

- x^{2} + 8 x + 9

in the form:

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

Factor out

- 1

- (x^{2} - 8 x - 9)

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

- (x^{2} - 8 x - 9 + (- 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} - 9 - (- 4)^{2})

Simplify

- (x - 4)^{2} + 25

2 0^{2} + 1 5^{2} = c^{2}

4 x^{2} = 5

m^{2} - 7 m + 6 = 0

(x + 3) (x - 3) = 0

x, 3 x^{2} - x y + y^{2} - 2 x + 6 y - 6 = 0

What are the solutions to the equation completesquare 9+8x-x^2 ?
The solutions to the equation completesquare 9+8x-x^2 are -(x-4)^2+25
Find the zeros of completesquare 9+8x-x^2
The zeros of completesquare 9+8x-x^2 are -(x-4)^2+25