What are the solutions to the equation v^2+14v+19=0 ?

The solutions to the equation v^2+14v+19=0 are v=-7+sqrt(30),v=-7-sqrt(30)

Find the zeros of v^2+14v+19=0

The zeros of v^2+14v+19=0 are v=-7+sqrt(30),v=-7-sqrt(30)

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v^{2} + 14 v + 19 = 0

v = - 7 + 30, v = - 7 - 30

Decimal Notation

v = - 1.52277 \dots, v = - 12.47722 \dots

Solution steps

v^{2} + 14 v + 19 = 0

Solve with the quadratic formula

v_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 \cdot 1 \cdot 19}{2 \cdot 1}

1 4^{2} - 4 \cdot 1 \cdot 19 = 230

v_{1, 2} = \frac{- 14 \pm 2 30}{2 \cdot 1}

Separate the solutions

v_{1} = \frac{- 14 + 2 30}{2 \cdot 1}, v_{2} = \frac{- 14 - 2 30}{2 \cdot 1}

v = \frac{- 14 + 2 30}{2 \cdot 1} : - 7 + 30

v = \frac{- 14 - 2 30}{2 \cdot 1} : - 7 - 30

The solutions to the quadratic equation are:

v = - 7 + 30, v = - 7 - 30

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- 3 q + 2 (1 - q) = - 1 q + 0 (1 - q)

3 x^{2} + 10 x \geq - 2 x - 9

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16 x^{2} + 40 x + 25

What are the solutions to the equation v^2+14v+19=0 ?
The solutions to the equation v^2+14v+19=0 are v=-7+sqrt(30),v=-7-sqrt(30)
Find the zeros of v^2+14v+19=0
The zeros of v^2+14v+19=0 are v=-7+sqrt(30),v=-7-sqrt(30)