What are the solutions to the equation completesquare-2x^2+16x-29 ?

The solutions to the equation completesquare-2x^2+16x-29 are -2(x-4)^2+3

Find the zeros of completesquare-2x^2+16x-29

The zeros of completesquare-2x^2+16x-29 are -2(x-4)^2+3

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complete the square

- 2 x^{2} + 16 x - 29

- 2 (x - 4)^{2} + 3

Solution steps

- 2 x^{2} + 16 x - 29

Write

- 2 x^{2} + 16 x - 29

in the form:

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

Factor out

- 2

- 2 (x^{2} - 8 x + \frac{29}{2})

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

- 2 (x^{2} - 8 x + \frac{29}{2} + (- 4)^{2} - (- 4)^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} - 8 x + (- 4)^{2} = (x - 4)^{2}

- 2 ((x - 4)^{2} + \frac{29}{2} - (- 4)^{2})

Simplify

- 2 (x - 4)^{2} + 3

x^{2} + 54 = 0

A = π r^{2}, r

8 x^{2} + 8 x

- 5 x^{2} - 4 x - 1 = 0

4 x^{2} + 3 x - 22 = 0

What are the solutions to the equation completesquare-2x^2+16x-29 ?
The solutions to the equation completesquare-2x^2+16x-29 are -2(x-4)^2+3
Find the zeros of completesquare-2x^2+16x-29
The zeros of completesquare-2x^2+16x-29 are -2(x-4)^2+3