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

The solutions to the equation completesquare-4x^2+24x are -4(x-3)^2+36

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

The zeros of completesquare-4x^2+24x are -4(x-3)^2+36

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complete the square

- 4 x^{2} + 24 x

- 4 (x - 3)^{2} + 36

Solution steps

- 4 x^{2} + 24 x

Write

- 4 x^{2} + 24 x

in the form:

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

Factor out

- 4

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

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

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

Simplify

- 4 (x - 3)^{2} + 36

- 8 + 81 x^{2} = 56

3 x^{2} - 2 x + 1 = 4

x^{2} - 18 x + 16 = 0

x, x^{2} - 8 x + 16 = 0

(x - 4)^{2} + (x - 1) \cdot (x + 1) = 25

What are the solutions to the equation completesquare-4x^2+24x ?
The solutions to the equation completesquare-4x^2+24x are -4(x-3)^2+36
Find the zeros of completesquare-4x^2+24x
The zeros of completesquare-4x^2+24x are -4(x-3)^2+36