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

The solutions to the equation completesquare x^2-8x-3 are (x-4)^2-19

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

The zeros of completesquare x^2-8x-3 are (x-4)^2-19

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

x^{2} - 8 x - 3

(x - 4)^{2} - 19

Solution steps

x^{2} - 8 x - 3

Write

x^{2} - 8 x - 3

in the form:

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

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

x^{2} - 8 x - 3 + (- 4)^{2} - (- 4)^{2}

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

x^{2} - 8 x + (- 4)^{2} = (x - 4)^{2}

(x - 4)^{2} - 3 - (- 4)^{2}

Simplify

(x - 4)^{2} - 19

x^{2} - 8 x + 9

x^{2} - 8 x + 2

x^{2} - 10 x + 18 = 0

(x + 3) (x - 5) = 5

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

What are the solutions to the equation completesquare x^2-8x-3 ?
The solutions to the equation completesquare x^2-8x-3 are (x-4)^2-19
Find the zeros of completesquare x^2-8x-3
The zeros of completesquare x^2-8x-3 are (x-4)^2-19