What are the solutions to the equation 5x^2+10x+20=0 ?

The solutions to the equation 5x^2+10x+20=0 are x=-1+sqrt(3)i,x=-1-sqrt(3)i

Find the zeros of 5x^2+10x+20=0

The zeros of 5x^2+10x+20=0 are x=-1+sqrt(3)i,x=-1-sqrt(3)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 x^{2} + 10 x + 20 = 0

x = - 1 + 3 i, x = - 1 - 3 i

Solution steps

5 x^{2} + 10 x + 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 5 \cdot 20}{2 \cdot 5}

Simplify

1 0^{2} - 4 \cdot 5 \cdot 20 : 103 i

x_{1, 2} = \frac{- 10 \pm 10 3 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 10 + 10 3 i}{2 \cdot 5}, x_{2} = \frac{- 10 - 10 3 i}{2 \cdot 5}

x = \frac{- 10 + 10 3 i}{2 \cdot 5} : - 1 + 3 i

x = \frac{- 10 - 10 3 i}{2 \cdot 5} : - 1 - 3 i

The solutions to the quadratic equation are:

x = - 1 + 3 i, x = - 1 - 3 i

t^{2} - 14 t = - 50

16 x^{2} - 40 x + 221 = 0

t^{2} = - 11

7 x^{2} - 3 x - 3 = 0

x^{2} = 30 - 7 x

What are the solutions to the equation 5x^2+10x+20=0 ?
The solutions to the equation 5x^2+10x+20=0 are x=-1+sqrt(3)i,x=-1-sqrt(3)i
Find the zeros of 5x^2+10x+20=0
The zeros of 5x^2+10x+20=0 are x=-1+sqrt(3)i,x=-1-sqrt(3)i