What are the solutions to the equation 5k^2-17k+13=0 ?

The solutions to the equation 5k^2-17k+13=0 are k=(17+sqrt(29))/(10),k=(17-sqrt(29))/(10)

Find the zeros of 5k^2-17k+13=0

The zeros of 5k^2-17k+13=0 are k=(17+sqrt(29))/(10),k=(17-sqrt(29))/(10)

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5 k^{2} - 17 k + 13 = 0

k = \frac{17 + 29}{10}, k = \frac{17 - 29}{10}

Solution steps

5 k^{2} - 17 k + 13 = 0

Solve with the quadratic formula

k_{1, 2} = \frac{- ( - 17 ) \pm ( - 17 ) ^{2} - 4 \cdot 5 \cdot 13}{2 \cdot 5}

(- 17)^{2} - 4 \cdot 5 \cdot 13 = 29

k_{1, 2} = \frac{- ( - 17 ) \pm 29}{2 \cdot 5}

Separate the solutions

k_{1} = \frac{- ( - 17 ) + 29}{2 \cdot 5}, k_{2} = \frac{- ( - 17 ) - 29}{2 \cdot 5}

k = \frac{- ( - 17 ) + 29}{2 \cdot 5} : \frac{17 + 29}{10}

k = \frac{- ( - 17 ) - 29}{2 \cdot 5} : \frac{17 - 29}{10}

The solutions to the quadratic equation are:

k = \frac{17 + 29}{10}, k = \frac{17 - 29}{10}

2 x^{2} + 3 = 5

4 (x - 3)^{2} - 27 = - 11

14 x^{2} - 4 x = 35 x - 10

n (n + 6) = 520

x^{2} = 255

What are the solutions to the equation 5k^2-17k+13=0 ?
The solutions to the equation 5k^2-17k+13=0 are k=(17+sqrt(29))/(10),k=(17-sqrt(29))/(10)
Find the zeros of 5k^2-17k+13=0
The zeros of 5k^2-17k+13=0 are k=(17+sqrt(29))/(10),k=(17-sqrt(29))/(10)