What are the solutions to the equation completesquare-4x^2-24x-40 ?

The solutions to the equation completesquare-4x^2-24x-40 are -4(x+3)^2-4

Find the zeros of completesquare-4x^2-24x-40

The zeros of completesquare-4x^2-24x-40 are -4(x+3)^2-4

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complete the square

- 4 x^{2} - 24 x - 40

- 4 (x + 3)^{2} - 4

Solution steps

- 4 x^{2} - 24 x - 40

Write

- 4 x^{2} - 24 x - 40

in the form:

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

Factor out

- 4

- 4 (x^{2} + 6 x + 10)

2 a = 6 : a = 3

Add and subtract

3^{2}

- 4 (x^{2} + 6 x + 10 + 3^{2} - 3^{2})

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

x^{2} + 6 x + 3^{2} = (x + 3)^{2}

- 4 ((x + 3)^{2} + 10 - 3^{2})

Simplify

- 4 (x + 3)^{2} - 4

3 x^{2} - 18 x + 17

x, x^{2} = x y

49 - (2 x)^{2} = 0

x^{2} + 15 x + 90 = - 4 x

24 x^{2} - 2 x + 10 = 0

What are the solutions to the equation completesquare-4x^2-24x-40 ?
The solutions to the equation completesquare-4x^2-24x-40 are -4(x+3)^2-4
Find the zeros of completesquare-4x^2-24x-40
The zeros of completesquare-4x^2-24x-40 are -4(x+3)^2-4