What are the solutions to the equation completesquare 4x^2-16x-33 ?

The solutions to the equation completesquare 4x^2-16x-33 are 4(x-2)^2-49

Find the zeros of completesquare 4x^2-16x-33

The zeros of completesquare 4x^2-16x-33 are 4(x-2)^2-49

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complete the square

4 x^{2} - 16 x - 33

4 (x - 2)^{2} - 49

Solution steps

4 x^{2} - 16 x - 33

Write

4 x^{2} - 16 x - 33

in the form:

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

Factor out

4

4 (x^{2} - 4 x - \frac{33}{4})

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

4 (x^{2} - 4 x - \frac{33}{4} + (- 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} - \frac{33}{4} - (- 2)^{2})

Simplify

4 (x - 2)^{2} - 49

6 (x^{2} - 1) = - 5 x

- x^{2} + 2 x + 5 = 0

36 x^{2} + 48 x + 16 = 12

9 x^{2} - 42 x = - 52

2 x - 3 = x^{2}

What are the solutions to the equation completesquare 4x^2-16x-33 ?
The solutions to the equation completesquare 4x^2-16x-33 are 4(x-2)^2-49
Find the zeros of completesquare 4x^2-16x-33
The zeros of completesquare 4x^2-16x-33 are 4(x-2)^2-49