What are the solutions to the equation x^2-6x+21=0 ?

The solutions to the equation x^2-6x+21=0 are x=3+2sqrt(3)i,x=3-2sqrt(3)i

Find the zeros of x^2-6x+21=0

The zeros of x^2-6x+21=0 are x=3+2sqrt(3)i,x=3-2sqrt(3)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} - 6 x + 21 = 0

x = 3 + 23 i, x = 3 - 23 i

Solution steps

x^{2} - 6 x + 21 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot 21}{2 \cdot 1}

Simplify

(- 6)^{2} - 4 \cdot 1 \cdot 21 : 43 i

x_{1, 2} = \frac{- ( - 6 ) \pm 4 3 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 4 3 i}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 4 3 i}{2 \cdot 1}

x = \frac{- ( - 6 ) + 4 3 i}{2 \cdot 1} : 3 + 23 i

x = \frac{- ( - 6 ) - 4 3 i}{2 \cdot 1} : 3 - 23 i

The solutions to the quadratic equation are:

x = 3 + 23 i, x = 3 - 23 i

2 x^{2} + 1 = 0

25 x^{2} + 9 = 30 x

\frac{7}{6} x = 140

1188870 = - 2.06 x^{2} + 77.83 x + 745

\frac{6 - i 2}{i 3}

What are the solutions to the equation x^2-6x+21=0 ?
The solutions to the equation x^2-6x+21=0 are x=3+2sqrt(3)i,x=3-2sqrt(3)i
Find the zeros of x^2-6x+21=0
The zeros of x^2-6x+21=0 are x=3+2sqrt(3)i,x=3-2sqrt(3)i