What are the solutions to the equation x^2-10x+32=0 ?

The solutions to the equation x^2-10x+32=0 are x=5+sqrt(7)i,x=5-sqrt(7)i

Find the zeros of x^2-10x+32=0

The zeros of x^2-10x+32=0 are x=5+sqrt(7)i,x=5-sqrt(7)i

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x^{2} - 10 x + 32 = 0

x = 5 + 7 i, x = 5 - 7 i

Solution steps

x^{2} - 10 x + 32 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 32}{2 \cdot 1}

Simplify

(- 10)^{2} - 4 \cdot 1 \cdot 32 : 27 i

x_{1, 2} = \frac{- ( - 10 ) \pm 2 7 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 7 i}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 2 7 i}{2 \cdot 1}

x = \frac{- ( - 10 ) + 2 7 i}{2 \cdot 1} : 5 + 7 i

x = \frac{- ( - 10 ) - 2 7 i}{2 \cdot 1} : 5 - 7 i

The solutions to the quadratic equation are:

x = 5 + 7 i, x = 5 - 7 i

- 30 n = - 27 n - 63

- 4 x = 20

- 4 ∣ 3 x - 1 ∣ = - 16

- 4 ∣ 4 x + 8 ∣ + 7 = - 9

4 x + 6 \leq 2

What are the solutions to the equation x^2-10x+32=0 ?
The solutions to the equation x^2-10x+32=0 are x=5+sqrt(7)i,x=5-sqrt(7)i
Find the zeros of x^2-10x+32=0
The zeros of x^2-10x+32=0 are x=5+sqrt(7)i,x=5-sqrt(7)i