What are the solutions to the equation x^2-3x+13=0 ?

The solutions to the equation x^2-3x+13=0 are x= 3/2+i(sqrt(43))/2 ,x= 3/2-i(sqrt(43))/2

Find the zeros of x^2-3x+13=0

The zeros of x^2-3x+13=0 are x= 3/2+i(sqrt(43))/2 ,x= 3/2-i(sqrt(43))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} - 3 x + 13 = 0

x = \frac{3}{2} + i \frac{43}{2}, x = \frac{3}{2} - i \frac{43}{2}

Solution steps

x^{2} - 3 x + 13 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 1 \cdot 13}{2 \cdot 1}

Simplify

(- 3)^{2} - 4 \cdot 1 \cdot 13 : 43 i

x_{1, 2} = \frac{- ( - 3 ) \pm 43 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 43 i}{2 \cdot 1}, x_{2} = \frac{- ( - 3 ) - 43 i}{2 \cdot 1}

x = \frac{- ( - 3 ) + 43 i}{2 \cdot 1} : \frac{3}{2} + i \frac{43}{2}

x = \frac{- ( - 3 ) - 43 i}{2 \cdot 1} : \frac{3}{2} - i \frac{43}{2}

The solutions to the quadratic equation are:

x = \frac{3}{2} + i \frac{43}{2}, x = \frac{3}{2} - i \frac{43}{2}

6 x^{2} - 23 x + 20 = 0

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

x^{2} - x + \frac{1}{4} = \frac{x}{4}

9 x^{2} + 6 x - 1 = 0

x^{2} - 22 x

What are the solutions to the equation x^2-3x+13=0 ?
The solutions to the equation x^2-3x+13=0 are x= 3/2+i(sqrt(43))/2 ,x= 3/2-i(sqrt(43))/2
Find the zeros of x^2-3x+13=0
The zeros of x^2-3x+13=0 are x= 3/2+i(sqrt(43))/2 ,x= 3/2-i(sqrt(43))/2