What are the solutions to the equation completesquare-2x^2+8x-14 ?

The solutions to the equation completesquare-2x^2+8x-14 are -2(x-2)^2-6

Find the zeros of completesquare-2x^2+8x-14

The zeros of completesquare-2x^2+8x-14 are -2(x-2)^2-6

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complete the square

- 2 x^{2} + 8 x - 14

- 2 (x - 2)^{2} - 6

Solution steps

- 2 x^{2} + 8 x - 14

Write

- 2 x^{2} + 8 x - 14

in the form:

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

Factor out

- 2

- 2 (x^{2} - 4 x + 7)

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

- 2 (x^{2} - 4 x + 7 + (- 2)^{2} - (- 2)^{2})

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

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

- 2 ((x - 2)^{2} + 7 - (- 2)^{2})

Simplify

- 2 (x - 2)^{2} - 6

l, A = l^{2}

b^{2} + 5 b + 6 = 0

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

(- x - 7)^{2} = 18

x^{2} - 8 x + 15 = (a x + b) (c x + d)

What are the solutions to the equation completesquare-2x^2+8x-14 ?
The solutions to the equation completesquare-2x^2+8x-14 are -2(x-2)^2-6
Find the zeros of completesquare-2x^2+8x-14
The zeros of completesquare-2x^2+8x-14 are -2(x-2)^2-6