What are the solutions to the equation 6n^2-4n-5=11 ?

The solutions to the equation 6n^2-4n-5=11 are n=2,n=-4/3

Find the zeros of 6n^2-4n-5=11

The zeros of 6n^2-4n-5=11 are n=2,n=-4/3

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6 n^{2} - 4 n - 5 = 11

n = 2, n = - \frac{4}{3}

Decimal Notation

n = 2, n = - 1.33333 \dots

Solution steps

6 n^{2} - 4 n - 5 = 11

Move

11

to the left side

6 n^{2} - 4 n - 16 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 6 ( - 16 )}{2 \cdot 6}

(- 4)^{2} - 4 \cdot 6 (- 16) = 20

n_{1, 2} = \frac{- ( - 4 ) \pm 20}{2 \cdot 6}

Separate the solutions

n_{1} = \frac{- ( - 4 ) + 20}{2 \cdot 6}, n_{2} = \frac{- ( - 4 ) - 20}{2 \cdot 6}

n = \frac{- ( - 4 ) + 20}{2 \cdot 6} : 2

n = \frac{- ( - 4 ) - 20}{2 \cdot 6} : - \frac{4}{3}

The solutions to the quadratic equation are:

n = 2, n = - \frac{4}{3}

6 x^{5} - 7 x^{3} - 3 x

∣ - 3 n ∣ - 2 = 4

2 x^{2} + 14 x + 20

3 x^{2} - 13 x + 14 = 0

4 x^{2} + 12 x + 5

What are the solutions to the equation 6n^2-4n-5=11 ?
The solutions to the equation 6n^2-4n-5=11 are n=2,n=-4/3
Find the zeros of 6n^2-4n-5=11
The zeros of 6n^2-4n-5=11 are n=2,n=-4/3