What are the solutions to the equation x-1(x+11)^2=1 ?

The solutions to the equation x-1(x+11)^2=1 are x=-21/2-i(sqrt(47))/2 ,x=-21/2+i(sqrt(47))/2

Find the zeros of x-1(x+11)^2=1

The zeros of x-1(x+11)^2=1 are x=-21/2-i(sqrt(47))/2 ,x=-21/2+i(sqrt(47))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x - 1 (x + 11)^{2} = 1

x = - \frac{21}{2} - i \frac{47}{2}, x = - \frac{21}{2} + i \frac{47}{2}

Solution steps

x - 1 \cdot (x + 11)^{2} = 1

Expand

x - 1 \cdot (x + 11)^{2} : - x^{2} - 21 x - 121

- x^{2} - 21 x - 121 = 1

Move

1

to the left side

- x^{2} - 21 x - 122 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 21 ) \pm ( - 21 ) ^{2} - 4 ( - 1 ) ( - 122 )}{2 ( - 1 )}

Simplify

(- 21)^{2} - 4 (- 1) (- 122) : 47 i

x_{1, 2} = \frac{- ( - 21 ) \pm 47 i}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- ( - 21 ) + 47 i}{2 ( - 1 )}, x_{2} = \frac{- ( - 21 ) - 47 i}{2 ( - 1 )}

x = \frac{- ( - 21 ) + 47 i}{2 ( - 1 )} : - \frac{21}{2} - i \frac{47}{2}

x = \frac{- ( - 21 ) - 47 i}{2 ( - 1 )} : - \frac{21}{2} + i \frac{47}{2}

The solutions to the quadratic equation are:

x = - \frac{21}{2} - i \frac{47}{2}, x = - \frac{21}{2} + i \frac{47}{2}

7 y^{2} + 3 = 199

3 x^{2} - 5 x - 7

8 x^{2} - 10 x - 5 = 0

2 s^{2} + 3.6 s + 15

16 - 4 x = 8 x^{2}

What are the solutions to the equation x-1(x+11)^2=1 ?
The solutions to the equation x-1(x+11)^2=1 are x=-21/2-i(sqrt(47))/2 ,x=-21/2+i(sqrt(47))/2
Find the zeros of x-1(x+11)^2=1
The zeros of x-1(x+11)^2=1 are x=-21/2-i(sqrt(47))/2 ,x=-21/2+i(sqrt(47))/2