What are the solutions to the equation 5x^2=-30x-65 ?

The solutions to the equation 5x^2=-30x-65 are x=-3+2i,x=-3-2i

Find the zeros of 5x^2=-30x-65

The zeros of 5x^2=-30x-65 are x=-3+2i,x=-3-2i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 x^{2} = - 30 x - 65

x = - 3 + 2 i, x = - 3 - 2 i

Solution steps

5 x^{2} = - 30 x - 65

Move

65

to the left side

5 x^{2} + 65 = - 30 x

Move

30 x

to the left side

5 x^{2} + 65 + 30 x = 0

Write in the standard form

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

5 x^{2} + 30 x + 65 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 \cdot 5 \cdot 65}{2 \cdot 5}

Simplify

3 0^{2} - 4 \cdot 5 \cdot 65 : 20 i

x_{1, 2} = \frac{- 30 \pm 20 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 30 + 20 i}{2 \cdot 5}, x_{2} = \frac{- 30 - 20 i}{2 \cdot 5}

x = \frac{- 30 + 20 i}{2 \cdot 5} : - 3 + 2 i

x = \frac{- 30 - 20 i}{2 \cdot 5} : - 3 - 2 i

The solutions to the quadratic equation are:

x = - 3 + 2 i, x = - 3 - 2 i

x^{2} + 4 x - 25 = 0

- 3 t^{2} + 14 t - 14 = 0

9 b^{2} = 25

12 x^{2} - 13 x - 4 = 0

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

What are the solutions to the equation 5x^2=-30x-65 ?
The solutions to the equation 5x^2=-30x-65 are x=-3+2i,x=-3-2i
Find the zeros of 5x^2=-30x-65
The zeros of 5x^2=-30x-65 are x=-3+2i,x=-3-2i