What are the solutions to the equation 10n^2-3n-1=0 ?

The solutions to the equation 10n^2-3n-1=0 are n= 1/2 ,n=-1/5

Find the zeros of 10n^2-3n-1=0

The zeros of 10n^2-3n-1=0 are n= 1/2 ,n=-1/5

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10 n^{2} - 3 n - 1 = 0

n = \frac{1}{2}, n = - \frac{1}{5}

Decimal Notation

n = 0.5, n = - 0.2

Solution steps

10 n^{2} - 3 n - 1 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 10 ( - 1 )}{2 \cdot 10}

(- 3)^{2} - 4 \cdot 10 (- 1) = 7

n_{1, 2} = \frac{- ( - 3 ) \pm 7}{2 \cdot 10}

Separate the solutions

n_{1} = \frac{- ( - 3 ) + 7}{2 \cdot 10}, n_{2} = \frac{- ( - 3 ) - 7}{2 \cdot 10}

n = \frac{- ( - 3 ) + 7}{2 \cdot 10} : \frac{1}{2}

n = \frac{- ( - 3 ) - 7}{2 \cdot 10} : - \frac{1}{5}

The solutions to the quadratic equation are:

n = \frac{1}{2}, n = - \frac{1}{5}

t, f (t - 2) = 5 t^{2} - 7 t + 3

4 x^{2} + 2 x - 14.44 = 0

0 = 20 - 15 t^{2}

4 x^{2} + 54 x + 110 = 0

5 + 7 x = - 4 x^{2} - 5

What are the solutions to the equation 10n^2-3n-1=0 ?
The solutions to the equation 10n^2-3n-1=0 are n= 1/2 ,n=-1/5
Find the zeros of 10n^2-3n-1=0
The zeros of 10n^2-3n-1=0 are n= 1/2 ,n=-1/5