What are the solutions to the equation 0= 1/2 x^2-6x+21 ?

The solutions to the equation 0= 1/2 x^2-6x+21 are x=6+sqrt(6)i,x=6-sqrt(6)i

Find the zeros of 0= 1/2 x^2-6x+21

The zeros of 0= 1/2 x^2-6x+21 are x=6+sqrt(6)i,x=6-sqrt(6)i

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0 = \frac{1}{2} x^{2} - 6 x + 21

x = 6 + 6 i, x = 6 - 6 i

Solution steps

0 = \frac{1}{2} x^{2} - 6 x + 21

Multiply both sides by

2

0 = x^{2} - 12 x + 42

Switch sides

x^{2} - 12 x + 42 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 1 \cdot 42}{2 \cdot 1}

Simplify

(- 12)^{2} - 4 \cdot 1 \cdot 42 : 26 i

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

Separate the solutions

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

x = \frac{- ( - 12 ) + 2 6 i}{2 \cdot 1} : 6 + 6 i

x = \frac{- ( - 12 ) - 2 6 i}{2 \cdot 1} : 6 - 6 i

The solutions to the quadratic equation are:

x = 6 + 6 i, x = 6 - 6 i

\frac{7}{5} x + \frac{7}{5} = x^{2} - \frac{8}{5} x - \frac{13}{5}

((x - 1) x - 7 x m^{- 1} + 15) = 0

3 q^{2} - q - 12 = - 6

7 - 3 (863 x - 772)^{2} = - 287

x, - 4 y^{3} - 4 x^{2} y + 8 y = 0

What are the solutions to the equation 0= 1/2 x^2-6x+21 ?
The solutions to the equation 0= 1/2 x^2-6x+21 are x=6+sqrt(6)i,x=6-sqrt(6)i
Find the zeros of 0= 1/2 x^2-6x+21
The zeros of 0= 1/2 x^2-6x+21 are x=6+sqrt(6)i,x=6-sqrt(6)i