What are the solutions to the equation x(x+4)=2 ?

The solutions to the equation x(x+4)=2 are x=-2+sqrt(6),x=-2-sqrt(6)

Find the zeros of x(x+4)=2

The zeros of x(x+4)=2 are x=-2+sqrt(6),x=-2-sqrt(6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x (x + 4) = 2

x = - 2 + 6, x = - 2 - 6

Decimal Notation

x = 0.44948 \dots, x = - 4.44948 \dots

Solution steps

x (x + 4) = 2

Expand

x (x + 4) : x^{2} + 4 x

x^{2} + 4 x = 2

Move

2

to the left side

x^{2} + 4 x - 2 = 0

Solve with the quadratic formula

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

4^{2} - 4 \cdot 1 \cdot (- 2) = 26

x_{1, 2} = \frac{- 4 \pm 2 6}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 4 + 2 6}{2 \cdot 1}, x_{2} = \frac{- 4 - 2 6}{2 \cdot 1}

x = \frac{- 4 + 2 6}{2 \cdot 1} : - 2 + 6

x = \frac{- 4 - 2 6}{2 \cdot 1} : - 2 - 6

The solutions to the quadratic equation are:

x = - 2 + 6, x = - 2 - 6

3 x^{2} = 75 x

3 x^{2} - 25 x + 28 = 0

- x^{2} - 18 x - 38 = - 6

2 x^{2} + 14 x - 24 = 0

x, x (x - 2 y) = - y^{2}

What are the solutions to the equation x(x+4)=2 ?
The solutions to the equation x(x+4)=2 are x=-2+sqrt(6),x=-2-sqrt(6)
Find the zeros of x(x+4)=2
The zeros of x(x+4)=2 are x=-2+sqrt(6),x=-2-sqrt(6)