What are the solutions to the equation 5n^2-14n+6=0 ?

The solutions to the equation 5n^2-14n+6=0 are n=(7+sqrt(19))/5 ,n=(7-sqrt(19))/5

Find the zeros of 5n^2-14n+6=0

The zeros of 5n^2-14n+6=0 are n=(7+sqrt(19))/5 ,n=(7-sqrt(19))/5

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5 n^{2} - 14 n + 6 = 0

n = \frac{7 + 19}{5}, n = \frac{7 - 19}{5}

Solution steps

5 n^{2} - 14 n + 6 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 5 \cdot 6}{2 \cdot 5}

(- 14)^{2} - 4 \cdot 5 \cdot 6 = 219

n_{1, 2} = \frac{- ( - 14 ) \pm 2 19}{2 \cdot 5}

Separate the solutions

n_{1} = \frac{- ( - 14 ) + 2 19}{2 \cdot 5}, n_{2} = \frac{- ( - 14 ) - 2 19}{2 \cdot 5}

n = \frac{- ( - 14 ) + 2 19}{2 \cdot 5} : \frac{7 + 19}{5}

n = \frac{- ( - 14 ) - 2 19}{2 \cdot 5} : \frac{7 - 19}{5}

The solutions to the quadratic equation are:

n = \frac{7 + 19}{5}, n = \frac{7 - 19}{5}

3 (10 x - 2) = 8

3 e \leq 6

- 4 x \leq 12

2 x + \frac{1}{3} x = 21

- 4 x^{3} - 6 x^{2} + 16 x + 24

What are the solutions to the equation 5n^2-14n+6=0 ?
The solutions to the equation 5n^2-14n+6=0 are n=(7+sqrt(19))/5 ,n=(7-sqrt(19))/5
Find the zeros of 5n^2-14n+6=0
The zeros of 5n^2-14n+6=0 are n=(7+sqrt(19))/5 ,n=(7-sqrt(19))/5