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

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

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

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

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complete the square

- x^{2} - 4 x + 10

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

Solution steps

- 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

2 x^{2} + 11 x + 19 = 0

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

- 54 x^{2} - 36 x + 18 = 0

x^{2} = 9 \cdot 10

4 x^{2} + 3 = 13 x

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