What are the solutions to the equation 3x^2-8x+13=0 ?

The solutions to the equation 3x^2-8x+13=0 are x= 4/3+i(sqrt(23))/3 ,x= 4/3-i(sqrt(23))/3

Find the zeros of 3x^2-8x+13=0

The zeros of 3x^2-8x+13=0 are x= 4/3+i(sqrt(23))/3 ,x= 4/3-i(sqrt(23))/3

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3 x^{2} - 8 x + 13 = 0

x = \frac{4}{3} + i \frac{23}{3}, x = \frac{4}{3} - i \frac{23}{3}

Solution steps

3 x^{2} - 8 x + 13 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 3 \cdot 13}{2 \cdot 3}

Simplify

(- 8)^{2} - 4 \cdot 3 \cdot 13 : 223 i

x_{1, 2} = \frac{- ( - 8 ) \pm 2 23 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 23 i}{2 \cdot 3}, x_{2} = \frac{- ( - 8 ) - 2 23 i}{2 \cdot 3}

x = \frac{- ( - 8 ) + 2 23 i}{2 \cdot 3} : \frac{4}{3} + i \frac{23}{3}

x = \frac{- ( - 8 ) - 2 23 i}{2 \cdot 3} : \frac{4}{3} - i \frac{23}{3}

The solutions to the quadratic equation are:

x = \frac{4}{3} + i \frac{23}{3}, x = \frac{4}{3} - i \frac{23}{3}

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5 x - 1 = x^{2} + 2 x + 1

x^{2} + 9 x - 10 = 0

15 (- 3 x + 2)^{2} + 4 (- 3 x + 2) - 3 = 0

What are the solutions to the equation 3x^2-8x+13=0 ?
The solutions to the equation 3x^2-8x+13=0 are x= 4/3+i(sqrt(23))/3 ,x= 4/3-i(sqrt(23))/3
Find the zeros of 3x^2-8x+13=0
The zeros of 3x^2-8x+13=0 are x= 4/3+i(sqrt(23))/3 ,x= 4/3-i(sqrt(23))/3