What are the solutions to the equation completesquare 2x^2-16x+13 ?

The solutions to the equation completesquare 2x^2-16x+13 are 2(x-4)^2-19

Find the zeros of completesquare 2x^2-16x+13

The zeros of completesquare 2x^2-16x+13 are 2(x-4)^2-19

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complete the square

2 x^{2} - 16 x + 13

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

Solution steps

2 x^{2} - 16 x + 13

Write

2 x^{2} - 16 x + 13

in the form:

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

Factor out

2

2 (x^{2} - 8 x + \frac{13}{2})

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

2 (x^{2} - 8 x + \frac{13}{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{13}{2} - (- 4)^{2})

Simplify

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

x^{2} - 18 x + 82 = 2

\frac{2}{3} x^{2} - 5 = 19

x = 8 x^{2}

- 3 c^{2} + 4 c + 1 = \frac{( - 4 ) - ( - 4 )}{( 2 ) - ( - 1 )}

408 = 600 - 3 q^{2}

What are the solutions to the equation completesquare 2x^2-16x+13 ?
The solutions to the equation completesquare 2x^2-16x+13 are 2(x-4)^2-19
Find the zeros of completesquare 2x^2-16x+13
The zeros of completesquare 2x^2-16x+13 are 2(x-4)^2-19