What are the solutions to the equation 7n^2-6n-1=0 ?

The solutions to the equation 7n^2-6n-1=0 are n=1,n=-1/7

Find the zeros of 7n^2-6n-1=0

The zeros of 7n^2-6n-1=0 are n=1,n=-1/7

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7 n^{2} - 6 n - 1 = 0

n = 1, n = - \frac{1}{7}

Decimal Notation

n = 1, n = - 0.14285 \dots

Solution steps

7 n^{2} - 6 n - 1 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 7 ( - 1 )}{2 \cdot 7}

(- 6)^{2} - 4 \cdot 7 (- 1) = 8

n_{1, 2} = \frac{- ( - 6 ) \pm 8}{2 \cdot 7}

Separate the solutions

n_{1} = \frac{- ( - 6 ) + 8}{2 \cdot 7}, n_{2} = \frac{- ( - 6 ) - 8}{2 \cdot 7}

n = \frac{- ( - 6 ) + 8}{2 \cdot 7} : 1

n = \frac{- ( - 6 ) - 8}{2 \cdot 7} : - \frac{1}{7}

The solutions to the quadratic equation are:

n = 1, n = - \frac{1}{7}

5 x^{2} + 7 x = x^{2} + 2

5 x^{2} = 1

10 x^{2} + 31 x + 15

\frac{1}{( \frac{2}{3} )}

\frac{1}{3} (x - 6) = \frac{2}{3}

What are the solutions to the equation 7n^2-6n-1=0 ?
The solutions to the equation 7n^2-6n-1=0 are n=1,n=-1/7
Find the zeros of 7n^2-6n-1=0
The zeros of 7n^2-6n-1=0 are n=1,n=-1/7