What are the solutions to the equation 3x^2-54x+819=0 ?

The solutions to the equation 3x^2-54x+819=0 are x=9+8sqrt(3)i,x=9-8sqrt(3)i

Find the zeros of 3x^2-54x+819=0

The zeros of 3x^2-54x+819=0 are x=9+8sqrt(3)i,x=9-8sqrt(3)i

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3 x^{2} - 54 x + 819 = 0

x = 9 + 83 i, x = 9 - 83 i

Solution steps

3 x^{2} - 54 x + 819 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 54 ) \pm ( - 54 ) ^{2} - 4 \cdot 3 \cdot 819}{2 \cdot 3}

Simplify

(- 54)^{2} - 4 \cdot 3 \cdot 819 : 483 i

x_{1, 2} = \frac{- ( - 54 ) \pm 48 3 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 54 ) + 48 3 i}{2 \cdot 3}, x_{2} = \frac{- ( - 54 ) - 48 3 i}{2 \cdot 3}

x = \frac{- ( - 54 ) + 48 3 i}{2 \cdot 3} : 9 + 83 i

x = \frac{- ( - 54 ) - 48 3 i}{2 \cdot 3} : 9 - 83 i

The solutions to the quadratic equation are:

x = 9 + 83 i, x = 9 - 83 i

r^{5} - 6 = - 1

\frac{3}{4} \cdot \frac{2}{5}

\frac{3}{2} (\frac{π}{2} + \frac{3 π}{2})

∣ 5 - 7 ∣

(x^{3} y^{2})^{4}

What are the solutions to the equation 3x^2-54x+819=0 ?
The solutions to the equation 3x^2-54x+819=0 are x=9+8sqrt(3)i,x=9-8sqrt(3)i
Find the zeros of 3x^2-54x+819=0
The zeros of 3x^2-54x+819=0 are x=9+8sqrt(3)i,x=9-8sqrt(3)i