What are the solutions to the equation completesquare 4x^2-16x+17 ?

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

Find the zeros of completesquare 4x^2-16x+17

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

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complete the square

4 x^{2} - 16 x + 17

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

Solution steps

4 x^{2} - 16 x + 17

Write

4 x^{2} - 16 x + 17

in the form:

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

Factor out

4

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

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

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

Simplify

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

y, 5 x^{2} - 2 x y + 2 y^{2} - 2 y - 71 = 0

- 2 x^{2} + 6 x - 1 = 0

8 x^{2} - 9 x + 1 = 0

x (- 1 + x) = 0

- 4.9 t^{2} + 31 t = 0

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