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

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

y, x y - 3 x + 4 x^{2} = 7

y, x^{2} - x y + y^{2} = 7

4 (x + 1)^{2} - 7 = 45

3 x^{2} + 231 = 54 x

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