What are the solutions to the equation completesquare 10-4x-x^2 ?

The solutions to the equation completesquare 10-4x-x^2 are -(x+2)^2+14

Find the zeros of completesquare 10-4x-x^2

The zeros of completesquare 10-4x-x^2 are -(x+2)^2+14

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complete the square

10 - 4 x - x^{2}

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

Solution steps

10 - 4 x - x^{2}

Write in the standard form

a x^{2} + b x + c

- x^{2} - 4 x + 10

Write

- x^{2} - 4 x + 10

in the form:

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

Factor out

- 1

- (x^{2} + 4 x - 10)

2 a = 4 : a = 2

Add and subtract

2^{2}

- (x^{2} + 4 x - 10 + 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} - 10 - 2^{2})

Simplify

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

x^{2} - 4 x - 20 = - 5 x

(2 - x)^{2} - (2 x - 3)^{2} = 50

(5 - x)^{2} - (3 x - 1)^{2} = 0

(y + 2)^{2} = - 9

(x + 2) (2 x - 3) = 3 x - 7

What are the solutions to the equation completesquare 10-4x-x^2 ?
The solutions to the equation completesquare 10-4x-x^2 are -(x+2)^2+14
Find the zeros of completesquare 10-4x-x^2
The zeros of completesquare 10-4x-x^2 are -(x+2)^2+14