What are the solutions to the equation 5n^2-6n-3=0 ?

The solutions to the equation 5n^2-6n-3=0 are n=(3+2sqrt(6))/5 ,n=(3-2sqrt(6))/5

Find the zeros of 5n^2-6n-3=0

The zeros of 5n^2-6n-3=0 are n=(3+2sqrt(6))/5 ,n=(3-2sqrt(6))/5

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5 n^{2} - 6 n - 3 = 0

n = \frac{3 + 2 6}{5}, n = \frac{3 - 2 6}{5}

Decimal Notation

n = 1.57979 \dots, n = - 0.37979 \dots

Solution steps

5 n^{2} - 6 n - 3 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 5 ( - 3 )}{2 \cdot 5}

(- 6)^{2} - 4 \cdot 5 (- 3) = 46

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

Separate the solutions

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

n = \frac{- ( - 6 ) + 4 6}{2 \cdot 5} : \frac{3 + 2 6}{5}

n = \frac{- ( - 6 ) - 4 6}{2 \cdot 5} : \frac{3 - 2 6}{5}

The solutions to the quadratic equation are:

n = \frac{3 + 2 6}{5}, n = \frac{3 - 2 6}{5}

0 = 16 t - 4.9 t^{2}

2 x^{2} = x - 3

z^{2} = 1 + j 3

x^{2} - 9 = 9

y^{2} + y + \frac{1}{4} = 0

What are the solutions to the equation 5n^2-6n-3=0 ?
The solutions to the equation 5n^2-6n-3=0 are n=(3+2sqrt(6))/5 ,n=(3-2sqrt(6))/5
Find the zeros of 5n^2-6n-3=0
The zeros of 5n^2-6n-3=0 are n=(3+2sqrt(6))/5 ,n=(3-2sqrt(6))/5