What are the solutions to the equation completesquare 4x^2+16x-1 ?

The solutions to the equation completesquare 4x^2+16x-1 are 4(x+2)^2-17

Find the zeros of completesquare 4x^2+16x-1

The zeros of completesquare 4x^2+16x-1 are 4(x+2)^2-17

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complete the square

4 x^{2} + 16 x - 1

4 (x + 2)^{2} - 17

Solution steps

4 x^{2} + 16 x - 1

Write

4 x^{2} + 16 x - 1

in the form:

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

Factor out

4

4 (x^{2} + 4 x - \frac{1}{4})

2 a = 4 : a = 2

Add and subtract

2^{2}

4 (x^{2} + 4 x - \frac{1}{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{1}{4} - 2^{2})

Simplify

4 (x + 2)^{2} - 17

2 x^{2} + 10 = 4 x + 16

x^{2} + 2 x + 1 = 36

5 q^{2} + 15 q + 5 = - 6

x (x - 10) = - 21

4 x^{2} + 4 x - 5 = 0

What are the solutions to the equation completesquare 4x^2+16x-1 ?
The solutions to the equation completesquare 4x^2+16x-1 are 4(x+2)^2-17
Find the zeros of completesquare 4x^2+16x-1
The zeros of completesquare 4x^2+16x-1 are 4(x+2)^2-17