What are the solutions to the equation completesquare 4x^2-16x+7 ?

The solutions to the equation completesquare 4x^2-16x+7 are 4(x-2)^2-9

Find the zeros of completesquare 4x^2-16x+7

The zeros of completesquare 4x^2-16x+7 are 4(x-2)^2-9

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complete the square

4 x^{2} - 16 x + 7

4 (x - 2)^{2} - 9

Solution steps

4 x^{2} - 16 x + 7

Write

4 x^{2} - 16 x + 7

in the form:

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

Factor out

4

4 (x^{2} - 4 x + \frac{7}{4})

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

4 (x^{2} - 4 x + \frac{7}{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{7}{4} - (- 2)^{2})

Simplify

4 (x - 2)^{2} - 9

(x - 8)^{2} = 3

20 x^{2} = 0

5 x^{2} - 6 x - 2 = 0

- 4 x^{2} + 4 = 0

- x^{2} + x - 8 = 2 x

What are the solutions to the equation completesquare 4x^2-16x+7 ?
The solutions to the equation completesquare 4x^2-16x+7 are 4(x-2)^2-9
Find the zeros of completesquare 4x^2-16x+7
The zeros of completesquare 4x^2-16x+7 are 4(x-2)^2-9