What are the solutions to the equation n(n+14)=-4 ?

The solutions to the equation n(n+14)=-4 are n=-7+3sqrt(5),n=-7-3sqrt(5)

Find the zeros of n(n+14)=-4

The zeros of n(n+14)=-4 are n=-7+3sqrt(5),n=-7-3sqrt(5)

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n (n + 14) = - 4

n = - 7 + 35, n = - 7 - 35

Decimal Notation

n = - 0.29179 \dots, n = - 13.70820 \dots

Solution steps

n (n + 14) = - 4

Expand

n (n + 14) : n^{2} + 14 n

n^{2} + 14 n = - 4

Move

4

to the left side

n^{2} + 14 n + 4 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 \cdot 1 \cdot 4}{2 \cdot 1}

1 4^{2} - 4 \cdot 1 \cdot 4 = 65

n_{1, 2} = \frac{- 14 \pm 6 5}{2 \cdot 1}

Separate the solutions

n_{1} = \frac{- 14 + 6 5}{2 \cdot 1}, n_{2} = \frac{- 14 - 6 5}{2 \cdot 1}

n = \frac{- 14 + 6 5}{2 \cdot 1} : - 7 + 35

n = \frac{- 14 - 6 5}{2 \cdot 1} : - 7 - 35

The solutions to the quadratic equation are:

n = - 7 + 35, n = - 7 - 35

4 x^{2} - 28 x = - 49

- x^{2} - 4 x + 32 = 0

12 a^{2} - 7 a = 12

4 x^{2} + 64 x = 0

36 s^{2} - 12 s + 1 = 0

What are the solutions to the equation n(n+14)=-4 ?
The solutions to the equation n(n+14)=-4 are n=-7+3sqrt(5),n=-7-3sqrt(5)
Find the zeros of n(n+14)=-4
The zeros of n(n+14)=-4 are n=-7+3sqrt(5),n=-7-3sqrt(5)