What are the solutions to the equation 9x^2+54x+83=0 ?

The solutions to the equation 9x^2+54x+83=0 are x=-3+i(sqrt(2))/3 ,x=-3-i(sqrt(2))/3

Find the zeros of 9x^2+54x+83=0

The zeros of 9x^2+54x+83=0 are x=-3+i(sqrt(2))/3 ,x=-3-i(sqrt(2))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9 x^{2} + 54 x + 83 = 0

x = - 3 + i \frac{2}{3}, x = - 3 - i \frac{2}{3}

Solution steps

9 x^{2} + 54 x + 83 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 54 \pm 5 4 ^{2} - 4 \cdot 9 \cdot 83}{2 \cdot 9}

Simplify

5 4^{2} - 4 \cdot 9 \cdot 83 : 62 i

x_{1, 2} = \frac{- 54 \pm 6 2 i}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- 54 + 6 2 i}{2 \cdot 9}, x_{2} = \frac{- 54 - 6 2 i}{2 \cdot 9}

x = \frac{- 54 + 6 2 i}{2 \cdot 9} : - 3 + i \frac{2}{3}

x = \frac{- 54 - 6 2 i}{2 \cdot 9} : - 3 - i \frac{2}{3}

The solutions to the quadratic equation are:

x = - 3 + i \frac{2}{3}, x = - 3 - i \frac{2}{3}

300 = - 0.5 x^{2} + 40 x - 300

x^{2} - \frac{5}{4} x - \frac{1}{4} = 0

n^{2} - 14 n - 83 = - 6

4 x^{2} = 6 x - 7

24 x^{2} + 10 x - 25 = 0

What are the solutions to the equation 9x^2+54x+83=0 ?
The solutions to the equation 9x^2+54x+83=0 are x=-3+i(sqrt(2))/3 ,x=-3-i(sqrt(2))/3
Find the zeros of 9x^2+54x+83=0
The zeros of 9x^2+54x+83=0 are x=-3+i(sqrt(2))/3 ,x=-3-i(sqrt(2))/3