What are the solutions to the equation completesquare 2x^2-20x+58 ?

The solutions to the equation completesquare 2x^2-20x+58 are 2(x-5)^2+8

Find the zeros of completesquare 2x^2-20x+58

The zeros of completesquare 2x^2-20x+58 are 2(x-5)^2+8

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complete the square

2 x^{2} - 20 x + 58

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

Solution steps

2 x^{2} - 20 x + 58

Write

2 x^{2} - 20 x + 58

in the form:

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

Factor out

2

2 (x^{2} - 10 x + 29)

2 a = - 10 : a = - 5

Add and subtract

(- 5)^{2}

2 (x^{2} - 10 x + 29 + (- 5)^{2} - (- 5)^{2})

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

x^{2} - 10 x + (- 5)^{2} = (x - 5)^{2}

2 ((x - 5)^{2} + 29 - (- 5)^{2})

Simplify

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

3 x^{2} - 6 x + 9

(5 x)^{2} = 6

- 12 x^{2} - 6 x - 8 = 0

8 x^{2} - 6 \times + 1 = 0

y, x^{2} + y^{4} = 4

What are the solutions to the equation completesquare 2x^2-20x+58 ?
The solutions to the equation completesquare 2x^2-20x+58 are 2(x-5)^2+8
Find the zeros of completesquare 2x^2-20x+58
The zeros of completesquare 2x^2-20x+58 are 2(x-5)^2+8