What are the solutions to the equation completesquare 4x^2-16x-3 ?

The solutions to the equation completesquare 4x^2-16x-3 are 4(x-2)^2-19

Find the zeros of completesquare 4x^2-16x-3

The zeros of completesquare 4x^2-16x-3 are 4(x-2)^2-19

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complete the square

4 x^{2} - 16 x - 3

4 (x - 2)^{2} - 19

Solution steps

4 x^{2} - 16 x - 3

Write

4 x^{2} - 16 x - 3

in the form:

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

Factor out

4

4 (x^{2} - 4 x - \frac{3}{4})

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

4 (x^{2} - 4 x - \frac{3}{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{3}{4} - (- 2)^{2})

Simplify

4 (x - 2)^{2} - 19

- 0.2 x^{2} + 8 x + 20 = - 2.4 x + 97.4

6 x - x^{2} = 2 x

4 x^{2} - 24 x + 13

x^{2} - 3 x + 11 = 9

x, x^{2} - y^{2} + 4 x + 6 y - 5 = 0

What are the solutions to the equation completesquare 4x^2-16x-3 ?
The solutions to the equation completesquare 4x^2-16x-3 are 4(x-2)^2-19
Find the zeros of completesquare 4x^2-16x-3
The zeros of completesquare 4x^2-16x-3 are 4(x-2)^2-19