What are the solutions to the equation completesquare-x^2+8x-5 ?

The solutions to the equation completesquare-x^2+8x-5 are -(x-4)^2+11

Find the zeros of completesquare-x^2+8x-5

The zeros of completesquare-x^2+8x-5 are -(x-4)^2+11

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 - 5

- (x - 4)^{2} + 11

Solution steps

- x^{2} + 8 x - 5

Write

- x^{2} + 8 x - 5

in the form:

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

Factor out

- 1

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

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

- (x^{2} - 8 x + 5 + (- 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} + 5 - (- 4)^{2})

Simplify

- (x - 4)^{2} + 11

x^{2} + 22 x - 5 = 0

x^{2} - 126 = 2 x + 1

60 = 50 + 20 \cdot t - 5 \cdot t^{2}

x^{2} + 32 x

x^{2} + 4 x = 98

What are the solutions to the equation completesquare-x^2+8x-5 ?
The solutions to the equation completesquare-x^2+8x-5 are -(x-4)^2+11
Find the zeros of completesquare-x^2+8x-5
The zeros of completesquare-x^2+8x-5 are -(x-4)^2+11