What are the solutions to the equation completesquare 8x^2-16x+3 ?

The solutions to the equation completesquare 8x^2-16x+3 are 8(x-1)^2-5

Find the zeros of completesquare 8x^2-16x+3

The zeros of completesquare 8x^2-16x+3 are 8(x-1)^2-5

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complete the square

8 x^{2} - 16 x + 3

8 (x - 1)^{2} - 5

Solution steps

8 x^{2} - 16 x + 3

Write

8 x^{2} - 16 x + 3

in the form:

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

Factor out

8

8 (x^{2} - 2 x + \frac{3}{8})

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

8 (x^{2} - 2 x + \frac{3}{8} + (- 1)^{2} - (- 1)^{2})

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

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

8 ((x - 1)^{2} + \frac{3}{8} - (- 1)^{2})

Simplify

8 (x - 1)^{2} - 5

y^{2} - 8 y + 22 = 0

(x + 3) (x - 2) = 1

x^{2} + 10 x = 3

4 x^{2} + 5 = 54

4 x^{2} + 5 = 41

What are the solutions to the equation completesquare 8x^2-16x+3 ?
The solutions to the equation completesquare 8x^2-16x+3 are 8(x-1)^2-5
Find the zeros of completesquare 8x^2-16x+3
The zeros of completesquare 8x^2-16x+3 are 8(x-1)^2-5