What are the solutions to the equation completesquare 2x^2-8x+15 ?

The solutions to the equation completesquare 2x^2-8x+15 are 2(x-2)^2+7

Find the zeros of completesquare 2x^2-8x+15

The zeros of completesquare 2x^2-8x+15 are 2(x-2)^2+7

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 + 15

2 (x - 2)^{2} + 7

Solution steps

2 x^{2} - 8 x + 15

Write

2 x^{2} - 8 x + 15

in the form:

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

Factor out

2

2 (x^{2} - 4 x + \frac{15}{2})

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

2 (x^{2} - 4 x + \frac{15}{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{15}{2} - (- 2)^{2})

Simplify

2 (x - 2)^{2} + 7

2 x^{2} - 12 x - 3 = 0

5 x + 3 x^{2} = 4 x - 7

(3 x + 1)^{2} = 4 (x - 1)^{2}

x^{2} + x = 3 x - x^{2}

2 x^{2} + 3 = 39

What are the solutions to the equation completesquare 2x^2-8x+15 ?
The solutions to the equation completesquare 2x^2-8x+15 are 2(x-2)^2+7
Find the zeros of completesquare 2x^2-8x+15
The zeros of completesquare 2x^2-8x+15 are 2(x-2)^2+7