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

The solutions to the equation completesquare 2x^2-16x+7 are 2(x-4)^2-25

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

The zeros of completesquare 2x^2-16x+7 are 2(x-4)^2-25

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complete the square

2 x^{2} - 16 x + 7

2 (x - 4)^{2} - 25

Solution steps

2 x^{2} - 16 x + 7

Write

2 x^{2} - 16 x + 7

in the form:

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

Factor out

2

2 (x^{2} - 8 x + \frac{7}{2})

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

2 (x^{2} - 8 x + \frac{7}{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{7}{2} - (- 4)^{2})

Simplify

2 (x - 4)^{2} - 25

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

4 y^{2} - y + 4 = 0

9 m^{2} = - 3

(x + 4)^{2} - 16 (x + 4) + 63 = 0

c^{2} = (6)^{2} + x^{2}

What are the solutions to the equation completesquare 2x^2-16x+7 ?
The solutions to the equation completesquare 2x^2-16x+7 are 2(x-4)^2-25
Find the zeros of completesquare 2x^2-16x+7
The zeros of completesquare 2x^2-16x+7 are 2(x-4)^2-25