What are the solutions to the equation 3x^2-6x+11=0 ?

The solutions to the equation 3x^2-6x+11=0 are x=1+i(2sqrt(6))/3 ,x=1-i(2sqrt(6))/3

Find the zeros of 3x^2-6x+11=0

The zeros of 3x^2-6x+11=0 are x=1+i(2sqrt(6))/3 ,x=1-i(2sqrt(6))/3

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

x = 1 + i \frac{2 6}{3}, x = 1 - i \frac{2 6}{3}

Solution steps

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 3 \cdot 11}{2 \cdot 3}

Simplify

(- 6)^{2} - 4 \cdot 3 \cdot 11 : 46 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 1 + i \frac{2 6}{3}, x = 1 - i \frac{2 6}{3}

\frac{ln ( 2 )}{0.12}

∣ x - 2 ∣ + ∣ x + 4 ∣ = 8

3 (x + 1) + 4 (x + 3) = 22

4 (3 x - 2) = 52

a^{2} - 7 a + 10 = 0

What are the solutions to the equation 3x^2-6x+11=0 ?
The solutions to the equation 3x^2-6x+11=0 are x=1+i(2sqrt(6))/3 ,x=1-i(2sqrt(6))/3
Find the zeros of 3x^2-6x+11=0
The zeros of 3x^2-6x+11=0 are x=1+i(2sqrt(6))/3 ,x=1-i(2sqrt(6))/3