What are the solutions to the equation 3x^2-12x+21=0 ?

The solutions to the equation 3x^2-12x+21=0 are x=2+sqrt(3)i,x=2-sqrt(3)i

Find the zeros of 3x^2-12x+21=0

The zeros of 3x^2-12x+21=0 are x=2+sqrt(3)i,x=2-sqrt(3)i

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3 x^{2} - 12 x + 21 = 0

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

Solution steps

3 x^{2} - 12 x + 21 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 3 \cdot 21}{2 \cdot 3}

Simplify

(- 12)^{2} - 4 \cdot 3 \cdot 21 : 63 i

x_{1, 2} = \frac{- ( - 12 ) \pm 6 3 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 12 ) + 6 3 i}{2 \cdot 3}, x_{2} = \frac{- ( - 12 ) - 6 3 i}{2 \cdot 3}

x = \frac{- ( - 12 ) + 6 3 i}{2 \cdot 3} : 2 + 3 i

x = \frac{- ( - 12 ) - 6 3 i}{2 \cdot 3} : 2 - 3 i

The solutions to the quadratic equation are:

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

4 x^{2} + 2 x = 5

- x (x - 1) = 3

x^{2} - \frac{4}{5} x - 2 = 0

12 x^{2} - 272 x + 1035 = 0

10000 + 12 x + 0.001 x^{2} = 22 x - 0.0005 x^{2}

What are the solutions to the equation 3x^2-12x+21=0 ?
The solutions to the equation 3x^2-12x+21=0 are x=2+sqrt(3)i,x=2-sqrt(3)i
Find the zeros of 3x^2-12x+21=0
The zeros of 3x^2-12x+21=0 are x=2+sqrt(3)i,x=2-sqrt(3)i