What are the solutions to the equation completesquare 4x^2-16x-48 ?

The solutions to the equation completesquare 4x^2-16x-48 are 4(x-2)^2-64

Find the zeros of completesquare 4x^2-16x-48

The zeros of completesquare 4x^2-16x-48 are 4(x-2)^2-64

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complete the square

4 x^{2} - 16 x - 48

4 (x - 2)^{2} - 64

Solution steps

4 x^{2} - 16 x - 48

Write

4 x^{2} - 16 x - 48

in the form:

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

Factor out

4

4 (x^{2} - 4 x - 12)

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

4 (x^{2} - 4 x - 12 + (- 2)^{2} - (- 2)^{2})

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

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

4 ((x - 2)^{2} - 12 - (- 2)^{2})

Simplify

4 (x - 2)^{2} - 64

(x - 4)^{2} - 25 = 12

(x + 7)^{2} - 288 = 0

5 x^{2} - 23 x = - 12

4 x^{2} - 4 x + 7 x - 7 = 2

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

What are the solutions to the equation completesquare 4x^2-16x-48 ?
The solutions to the equation completesquare 4x^2-16x-48 are 4(x-2)^2-64
Find the zeros of completesquare 4x^2-16x-48
The zeros of completesquare 4x^2-16x-48 are 4(x-2)^2-64