What are the solutions to the equation 50x^2-50x+13=0 ?

The solutions to the equation 50x^2-50x+13=0 are x= 1/2+i 1/10 ,x= 1/2-i 1/10

Find the zeros of 50x^2-50x+13=0

The zeros of 50x^2-50x+13=0 are x= 1/2+i 1/10 ,x= 1/2-i 1/10

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50 x^{2} - 50 x + 13 = 0

x = \frac{1}{2} + i \frac{1}{10}, x = \frac{1}{2} - i \frac{1}{10}

Solution steps

50 x^{2} - 50 x + 13 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 50 ) \pm ( - 50 ) ^{2} - 4 \cdot 50 \cdot 13}{2 \cdot 50}

Simplify

(- 50)^{2} - 4 \cdot 50 \cdot 13 : 10 i

x_{1, 2} = \frac{- ( - 50 ) \pm 10 i}{2 \cdot 50}

Separate the solutions

x_{1} = \frac{- ( - 50 ) + 10 i}{2 \cdot 50}, x_{2} = \frac{- ( - 50 ) - 10 i}{2 \cdot 50}

x = \frac{- ( - 50 ) + 10 i}{2 \cdot 50} : \frac{1}{2} + i \frac{1}{10}

x = \frac{- ( - 50 ) - 10 i}{2 \cdot 50} : \frac{1}{2} - i \frac{1}{10}

The solutions to the quadratic equation are:

x = \frac{1}{2} + i \frac{1}{10}, x = \frac{1}{2} - i \frac{1}{10}

72 = (8 x + 3) (8 x - 3)

36 x^{2} - \frac{49}{64} = 0

x^{2} + 8 x + 96 = 0

y, x^{2} + y^{2} = c e^{2 x}

(6 x - 2)^{2} = 9

What are the solutions to the equation 50x^2-50x+13=0 ?
The solutions to the equation 50x^2-50x+13=0 are x= 1/2+i 1/10 ,x= 1/2-i 1/10
Find the zeros of 50x^2-50x+13=0
The zeros of 50x^2-50x+13=0 are x= 1/2+i 1/10 ,x= 1/2-i 1/10