What are the solutions to the equation 25x^2-20x+9=0 ?

The solutions to the equation 25x^2-20x+9=0 are x= 2/5+i(sqrt(5))/5 ,x= 2/5-i(sqrt(5))/5

Find the zeros of 25x^2-20x+9=0

The zeros of 25x^2-20x+9=0 are x= 2/5+i(sqrt(5))/5 ,x= 2/5-i(sqrt(5))/5

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25 x^{2} - 20 x + 9 = 0

x = \frac{2}{5} + i \frac{5}{5}, x = \frac{2}{5} - i \frac{5}{5}

Solution steps

25 x^{2} - 20 x + 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 25 \cdot 9}{2 \cdot 25}

Simplify

(- 20)^{2} - 4 \cdot 25 \cdot 9 : 105 i

x_{1, 2} = \frac{- ( - 20 ) \pm 10 5 i}{2 \cdot 25}

Separate the solutions

x_{1} = \frac{- ( - 20 ) + 10 5 i}{2 \cdot 25}, x_{2} = \frac{- ( - 20 ) - 10 5 i}{2 \cdot 25}

x = \frac{- ( - 20 ) + 10 5 i}{2 \cdot 25} : \frac{2}{5} + i \frac{5}{5}

x = \frac{- ( - 20 ) - 10 5 i}{2 \cdot 25} : \frac{2}{5} - i \frac{5}{5}

The solutions to the quadratic equation are:

x = \frac{2}{5} + i \frac{5}{5}, x = \frac{2}{5} - i \frac{5}{5}

4 x^{2} + 6 x - 86 = 2

3 x^{2} + (- 6 x) + 14 - 2 x^{2} + (- 18) + 7 x = 2 x - 4

3 r^{2} + 27 r = 12

- x^{2} - 7 x + 2 = 0

18 x^{2} - 9 x - 5 = 0

What are the solutions to the equation 25x^2-20x+9=0 ?
The solutions to the equation 25x^2-20x+9=0 are x= 2/5+i(sqrt(5))/5 ,x= 2/5-i(sqrt(5))/5
Find the zeros of 25x^2-20x+9=0
The zeros of 25x^2-20x+9=0 are x= 2/5+i(sqrt(5))/5 ,x= 2/5-i(sqrt(5))/5