What are the solutions to the equation x^2-12x+111=0 ?

The solutions to the equation x^2-12x+111=0 are x=6+5sqrt(3)i,x=6-5sqrt(3)i

Find the zeros of x^2-12x+111=0

The zeros of x^2-12x+111=0 are x=6+5sqrt(3)i,x=6-5sqrt(3)i

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x^{2} - 12 x + 111 = 0

x = 6 + 53 i, x = 6 - 53 i

Solution steps

x^{2} - 12 x + 111 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 1 \cdot 111}{2 \cdot 1}

Simplify

(- 12)^{2} - 4 \cdot 1 \cdot 111 : 103 i

x_{1, 2} = \frac{- ( - 12 ) \pm 10 3 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 12 ) + 10 3 i}{2 \cdot 1}, x_{2} = \frac{- ( - 12 ) - 10 3 i}{2 \cdot 1}

x = \frac{- ( - 12 ) + 10 3 i}{2 \cdot 1} : 6 + 53 i

x = \frac{- ( - 12 ) - 10 3 i}{2 \cdot 1} : 6 - 53 i

The solutions to the quadratic equation are:

x = 6 + 53 i, x = 6 - 53 i

\frac{9 ^{7}}{9 ^{9}}

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- 64 x^{4} - 56 x^{3}

(n + 3)^{2} = 0

\frac{1}{4} x - \frac{1}{5} (x - 3) = 5 x

What are the solutions to the equation x^2-12x+111=0 ?
The solutions to the equation x^2-12x+111=0 are x=6+5sqrt(3)i,x=6-5sqrt(3)i
Find the zeros of x^2-12x+111=0
The zeros of x^2-12x+111=0 are x=6+5sqrt(3)i,x=6-5sqrt(3)i