What are the solutions to the equation x^2-11x+32=0 ?

The solutions to the equation x^2-11x+32=0 are x= 11/2+i(sqrt(7))/2 ,x= 11/2-i(sqrt(7))/2

Find the zeros of x^2-11x+32=0

The zeros of x^2-11x+32=0 are x= 11/2+i(sqrt(7))/2 ,x= 11/2-i(sqrt(7))/2

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x^{2} - 11 x + 32 = 0

x = \frac{11}{2} + i \frac{7}{2}, x = \frac{11}{2} - i \frac{7}{2}

Solution steps

x^{2} - 11 x + 32 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 1 \cdot 32}{2 \cdot 1}

Simplify

(- 11)^{2} - 4 \cdot 1 \cdot 32 : 7 i

x_{1, 2} = \frac{- ( - 11 ) \pm 7 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 7 i}{2 \cdot 1}, x_{2} = \frac{- ( - 11 ) - 7 i}{2 \cdot 1}

x = \frac{- ( - 11 ) + 7 i}{2 \cdot 1} : \frac{11}{2} + i \frac{7}{2}

x = \frac{- ( - 11 ) - 7 i}{2 \cdot 1} : \frac{11}{2} - i \frac{7}{2}

The solutions to the quadratic equation are:

x = \frac{11}{2} + i \frac{7}{2}, x = \frac{11}{2} - i \frac{7}{2}

\frac{2}{x + 6} > \frac{- 3}{x - 3}

(24 3^{2})^{\frac{1}{10}}

3 x^{2} + 5 x = 4

6 - x = x^{2}

x^{2} - 10 x + 25 = 35

What are the solutions to the equation x^2-11x+32=0 ?
The solutions to the equation x^2-11x+32=0 are x= 11/2+i(sqrt(7))/2 ,x= 11/2-i(sqrt(7))/2
Find the zeros of x^2-11x+32=0
The zeros of x^2-11x+32=0 are x= 11/2+i(sqrt(7))/2 ,x= 11/2-i(sqrt(7))/2