What are the solutions to the equation completesquare 7+6x-x^2 ?

The solutions to the equation completesquare 7+6x-x^2 are -(x-3)^2+16

Find the zeros of completesquare 7+6x-x^2

The zeros of completesquare 7+6x-x^2 are -(x-3)^2+16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

7 + 6 x - x^{2}

- (x - 3)^{2} + 16

Solution steps

7 + 6 x - x^{2}

Write in the standard form

a x^{2} + b x + c

- x^{2} + 6 x + 7

Write

- x^{2} + 6 x + 7

in the form:

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

Factor out

- 1

- (x^{2} - 6 x - 7)

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

- (x^{2} - 6 x - 7 + (- 3)^{2} - (- 3)^{2})

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

x^{2} - 6 x + (- 3)^{2} = (x - 3)^{2}

- ((x - 3)^{2} - 7 - (- 3)^{2})

Simplify

- (x - 3)^{2} + 16

3 2^{2} + x^{2} = 6 8^{2}

8 x^{2} + 12 x = 0

3 x (5 x - 5) - 5 = 0

6 x^{2} - 200 = 2 (x^{2} + 28)

x^{2} + 11 x + 20 = 2

What are the solutions to the equation completesquare 7+6x-x^2 ?
The solutions to the equation completesquare 7+6x-x^2 are -(x-3)^2+16
Find the zeros of completesquare 7+6x-x^2
The zeros of completesquare 7+6x-x^2 are -(x-3)^2+16