What are the solutions to the equation 5n^2-14n-12=0 ?

The solutions to the equation 5n^2-14n-12=0 are n=(7+sqrt(109))/5 ,n=(7-sqrt(109))/5

Find the zeros of 5n^2-14n-12=0

The zeros of 5n^2-14n-12=0 are n=(7+sqrt(109))/5 ,n=(7-sqrt(109))/5

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5 n^{2} - 14 n - 12 = 0

n = \frac{7 + 109}{5}, n = \frac{7 - 109}{5}

Decimal Notation

n = 3.48806 \dots, n = - 0.68806 \dots

Solution steps

5 n^{2} - 14 n - 12 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 5 ( - 12 )}{2 \cdot 5}

(- 14)^{2} - 4 \cdot 5 (- 12) = 2109

n_{1, 2} = \frac{- ( - 14 ) \pm 2 109}{2 \cdot 5}

Separate the solutions

n_{1} = \frac{- ( - 14 ) + 2 109}{2 \cdot 5}, n_{2} = \frac{- ( - 14 ) - 2 109}{2 \cdot 5}

n = \frac{- ( - 14 ) + 2 109}{2 \cdot 5} : \frac{7 + 109}{5}

n = \frac{- ( - 14 ) - 2 109}{2 \cdot 5} : \frac{7 - 109}{5}

The solutions to the quadratic equation are:

n = \frac{7 + 109}{5}, n = \frac{7 - 109}{5}

x^{2} + 7 x + 10 = 0

3 n^{2} + 16 n + 15 = 1

4 x^{2} + 5 = - 12 x

x^{2} + 8 x + 19 = 6

2 x^{2} + 20 = 8

What are the solutions to the equation 5n^2-14n-12=0 ?
The solutions to the equation 5n^2-14n-12=0 are n=(7+sqrt(109))/5 ,n=(7-sqrt(109))/5
Find the zeros of 5n^2-14n-12=0
The zeros of 5n^2-14n-12=0 are n=(7+sqrt(109))/5 ,n=(7-sqrt(109))/5