What are the solutions to the equation 4+20x^2+8x=0 ?

The solutions to the equation 4+20x^2+8x=0 are x=-1/5+i 2/5 ,x=-1/5-i 2/5

Find the zeros of 4+20x^2+8x=0

The zeros of 4+20x^2+8x=0 are x=-1/5+i 2/5 ,x=-1/5-i 2/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 + 20 x^{2} + 8 x = 0

x = - \frac{1}{5} + i \frac{2}{5}, x = - \frac{1}{5} - i \frac{2}{5}

Solution steps

4 + 20 x^{2} + 8 x = 0

Write in the standard form

a x^{2} + b x + c = 0

20 x^{2} + 8 x + 4 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 20 \cdot 4}{2 \cdot 20}

Simplify

8^{2} - 4 \cdot 20 \cdot 4 : 16 i

x_{1, 2} = \frac{- 8 \pm 16 i}{2 \cdot 20}

Separate the solutions

x_{1} = \frac{- 8 + 16 i}{2 \cdot 20}, x_{2} = \frac{- 8 - 16 i}{2 \cdot 20}

x = \frac{- 8 + 16 i}{2 \cdot 20} : - \frac{1}{5} + i \frac{2}{5}

x = \frac{- 8 - 16 i}{2 \cdot 20} : - \frac{1}{5} - i \frac{2}{5}

The solutions to the quadratic equation are:

x = - \frac{1}{5} + i \frac{2}{5}, x = - \frac{1}{5} - i \frac{2}{5}

- 4 x^{2} - 7 x + 9

2 x^{2} + 8 x

x^{2} - x - 1 = 0

y^{2} + 14 y + 48 = 0

(3 x + 1)^{2} + (x + 2)^{2} = 65

What are the solutions to the equation 4+20x^2+8x=0 ?
The solutions to the equation 4+20x^2+8x=0 are x=-1/5+i 2/5 ,x=-1/5-i 2/5
Find the zeros of 4+20x^2+8x=0
The zeros of 4+20x^2+8x=0 are x=-1/5+i 2/5 ,x=-1/5-i 2/5