What are the solutions to the equation 1/6 n^2-1/2 n-2/3 =0 ?

The solutions to the equation 1/6 n^2-1/2 n-2/3 =0 are n=4,n=-1

Find the zeros of 1/6 n^2-1/2 n-2/3 =0

The zeros of 1/6 n^2-1/2 n-2/3 =0 are n=4,n=-1

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\frac{1}{6} n^{2} - \frac{1}{2} n - \frac{2}{3} = 0

n = 4, n = - 1

Solution steps

\frac{1}{6} n^{2} - \frac{1}{2} n - \frac{2}{3} = 0

Find Least Common Multiplier of

6, 2, 3 : 6

Multiply by LCM=

6

\frac{1}{6} n^{2} \cdot 6 - \frac{1}{2} n \cdot 6 - \frac{2}{3} \cdot 6 = 0 \cdot 6

Simplify

n^{2} - 3 n - 4 = 0

Solve with the quadratic formula

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

(- 3)^{2} - 4 \cdot 1 \cdot (- 4) = 5

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

Separate the solutions

n_{1} = \frac{- ( - 3 ) + 5}{2 \cdot 1}, n_{2} = \frac{- ( - 3 ) - 5}{2 \cdot 1}

n = \frac{- ( - 3 ) + 5}{2 \cdot 1} : 4

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

The solutions to the quadratic equation are:

n = 4, n = - 1

(x + 3)^{2} + 3 x^{2} = 10 x + 8

x^{2} + 70 x - 3000 = 0

y, x^{3} + x y^{2} = 2

a, (\frac{a}{2} + r)^{2} = (\frac{a}{2} - r)^{2} + (\frac{a}{2} - r)^{2}

x, x^{2} y - x y^{2} = 6

What are the solutions to the equation 1/6 n^2-1/2 n-2/3 =0 ?
The solutions to the equation 1/6 n^2-1/2 n-2/3 =0 are n=4,n=-1
Find the zeros of 1/6 n^2-1/2 n-2/3 =0
The zeros of 1/6 n^2-1/2 n-2/3 =0 are n=4,n=-1