What are the solutions to the equation 3x^2-16x+23=0 ?

The solutions to the equation 3x^2-16x+23=0 are x= 8/3+i(sqrt(5))/3 ,x= 8/3-i(sqrt(5))/3

Find the zeros of 3x^2-16x+23=0

The zeros of 3x^2-16x+23=0 are x= 8/3+i(sqrt(5))/3 ,x= 8/3-i(sqrt(5))/3

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3 x^{2} - 16 x + 23 = 0

x = \frac{8}{3} + i \frac{5}{3}, x = \frac{8}{3} - i \frac{5}{3}

Solution steps

3 x^{2} - 16 x + 23 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 3 \cdot 23}{2 \cdot 3}

Simplify

(- 16)^{2} - 4 \cdot 3 \cdot 23 : 25 i

x_{1, 2} = \frac{- ( - 16 ) \pm 2 5 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 16 ) + 2 5 i}{2 \cdot 3}, x_{2} = \frac{- ( - 16 ) - 2 5 i}{2 \cdot 3}

x = \frac{- ( - 16 ) + 2 5 i}{2 \cdot 3} : \frac{8}{3} + i \frac{5}{3}

x = \frac{- ( - 16 ) - 2 5 i}{2 \cdot 3} : \frac{8}{3} - i \frac{5}{3}

The solutions to the quadratic equation are:

x = \frac{8}{3} + i \frac{5}{3}, x = \frac{8}{3} - i \frac{5}{3}

3 x^{2} = 5 + 8 x

(x + 7)^{2} = 16

9 x^{2} + 25 = - 30 x

y, x^{2} + 4 y^{2} = 4

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

What are the solutions to the equation 3x^2-16x+23=0 ?
The solutions to the equation 3x^2-16x+23=0 are x= 8/3+i(sqrt(5))/3 ,x= 8/3-i(sqrt(5))/3
Find the zeros of 3x^2-16x+23=0
The zeros of 3x^2-16x+23=0 are x= 8/3+i(sqrt(5))/3 ,x= 8/3-i(sqrt(5))/3