What are the solutions to the equation x^2-6x+11=0 ?

The solutions to the equation x^2-6x+11=0 are x=3+sqrt(2)i,x=3-sqrt(2)i

Find the zeros of x^2-6x+11=0

The zeros of x^2-6x+11=0 are x=3+sqrt(2)i,x=3-sqrt(2)i

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x^{2} - 6 x + 11 = 0

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

Solution steps

x^{2} - 6 x + 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot 11}{2 \cdot 1}

Simplify

(- 6)^{2} - 4 \cdot 1 \cdot 11 : 22 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

c^{3} + c^{2}

0 = 5 x + 1

932 + 2

2 (2 x - 6) = 28

x^{2} + 18 x + 77

What are the solutions to the equation x^2-6x+11=0 ?
The solutions to the equation x^2-6x+11=0 are x=3+sqrt(2)i,x=3-sqrt(2)i
Find the zeros of x^2-6x+11=0
The zeros of x^2-6x+11=0 are x=3+sqrt(2)i,x=3-sqrt(2)i