What are the solutions to the equation x^2-10x+74=0 ?

The solutions to the equation x^2-10x+74=0 are x=5+7i,x=5-7i

Find the zeros of x^2-10x+74=0

The zeros of x^2-10x+74=0 are x=5+7i,x=5-7i

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x^{2} - 10 x + 74 = 0

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

Solution steps

x^{2} - 10 x + 74 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 74}{2 \cdot 1}

Simplify

(- 10)^{2} - 4 \cdot 1 \cdot 74 : 14 i

x_{1, 2} = \frac{- ( - 10 ) \pm 14 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 14 i}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 14 i}{2 \cdot 1}

x = \frac{- ( - 10 ) + 14 i}{2 \cdot 1} : 5 + 7 i

x = \frac{- ( - 10 ) - 14 i}{2 \cdot 1} : 5 - 7 i

The solutions to the quadratic equation are:

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

- 4 \cdot 4

49 p^{3} q - 25 p q^{3}

9 y^{4} - 7 y^{2} - 16

\frac{- 7 + i}{- 6 - 8 i}

20 s^{2} + s - 10 = 2

What are the solutions to the equation x^2-10x+74=0 ?
The solutions to the equation x^2-10x+74=0 are x=5+7i,x=5-7i
Find the zeros of x^2-10x+74=0
The zeros of x^2-10x+74=0 are x=5+7i,x=5-7i