What are the solutions to the equation completesquare 2x^2-8x+13 ?

The solutions to the equation completesquare 2x^2-8x+13 are 2(x-2)^2+5

Find the zeros of completesquare 2x^2-8x+13

The zeros of completesquare 2x^2-8x+13 are 2(x-2)^2+5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

2 x^{2} - 8 x + 13

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

Solution steps

2 x^{2} - 8 x + 13

Write

2 x^{2} - 8 x + 13

in the form:

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

Factor out

2

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

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

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

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

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

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

Simplify

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

x^{2} - 6 x = - 10 x + 12

2 (x - 3)^{2} - 72 = 0

3 k^{2} - 14 k - 21 = 0

x, x^{2} + 2 k x - 3 = k x^{2} + 1.4

t, s = \frac{1}{6} g t^{2}

What are the solutions to the equation completesquare 2x^2-8x+13 ?
The solutions to the equation completesquare 2x^2-8x+13 are 2(x-2)^2+5
Find the zeros of completesquare 2x^2-8x+13
The zeros of completesquare 2x^2-8x+13 are 2(x-2)^2+5