What are the solutions to the equation x^2-9x+32=0 ?

The solutions to the equation x^2-9x+32=0 are x= 9/2+i(sqrt(47))/2 ,x= 9/2-i(sqrt(47))/2

Find the zeros of x^2-9x+32=0

The zeros of x^2-9x+32=0 are x= 9/2+i(sqrt(47))/2 ,x= 9/2-i(sqrt(47))/2

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x^{2} - 9 x + 32 = 0

x = \frac{9}{2} + i \frac{47}{2}, x = \frac{9}{2} - i \frac{47}{2}

Solution steps

x^{2} - 9 x + 32 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 1 \cdot 32}{2 \cdot 1}

Simplify

(- 9)^{2} - 4 \cdot 1 \cdot 32 : 47 i

x_{1, 2} = \frac{- ( - 9 ) \pm 47 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 47 i}{2 \cdot 1}, x_{2} = \frac{- ( - 9 ) - 47 i}{2 \cdot 1}

x = \frac{- ( - 9 ) + 47 i}{2 \cdot 1} : \frac{9}{2} + i \frac{47}{2}

x = \frac{- ( - 9 ) - 47 i}{2 \cdot 1} : \frac{9}{2} - i \frac{47}{2}

The solutions to the quadratic equation are:

x = \frac{9}{2} + i \frac{47}{2}, x = \frac{9}{2} - i \frac{47}{2}

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

1 5^{2} = 1 0^{2} + x^{2}

(x - 1) (x + 5) = 7

x (2 x - 5) - 5 = x (x - 1)

4 x^{2} - 16 = 0

What are the solutions to the equation x^2-9x+32=0 ?
The solutions to the equation x^2-9x+32=0 are x= 9/2+i(sqrt(47))/2 ,x= 9/2-i(sqrt(47))/2
Find the zeros of x^2-9x+32=0
The zeros of x^2-9x+32=0 are x= 9/2+i(sqrt(47))/2 ,x= 9/2-i(sqrt(47))/2