What are the solutions to the equation v^2=-18-10v ?

The solutions to the equation v^2=-18-10v are v=-5+sqrt(7),v=-5-sqrt(7)

Find the zeros of v^2=-18-10v

The zeros of v^2=-18-10v are v=-5+sqrt(7),v=-5-sqrt(7)

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v^{2} = - 18 - 10 v

v = - 5 + 7, v = - 5 - 7

Decimal Notation

v = - 2.35424 \dots, v = - 7.64575 \dots

Solution steps

v^{2} = - 18 - 10 v

Move

10 v

to the left side

v^{2} + 10 v = - 18

Move

18

to the left side

v^{2} + 10 v + 18 = 0

Solve with the quadratic formula

v_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot 18}{2 \cdot 1}

1 0^{2} - 4 \cdot 1 \cdot 18 = 27

v_{1, 2} = \frac{- 10 \pm 2 7}{2 \cdot 1}

Separate the solutions

v_{1} = \frac{- 10 + 2 7}{2 \cdot 1}, v_{2} = \frac{- 10 - 2 7}{2 \cdot 1}

v = \frac{- 10 + 2 7}{2 \cdot 1} : - 5 + 7

v = \frac{- 10 - 2 7}{2 \cdot 1} : - 5 - 7

The solutions to the quadratic equation are:

v = - 5 + 7, v = - 5 - 7

s^{2} + 6 s + 6 = 0

\frac{1}{4} (2 x - 7) (2 x - 1)

lo g_{10} (5) (x^{2} - 6 x - 7) - lo g_{10} (5) (x + 1) = 1

- 3 x^{2} + 10 x - 8

- 2 x^{2} + x - 1

What are the solutions to the equation v^2=-18-10v ?
The solutions to the equation v^2=-18-10v are v=-5+sqrt(7),v=-5-sqrt(7)
Find the zeros of v^2=-18-10v
The zeros of v^2=-18-10v are v=-5+sqrt(7),v=-5-sqrt(7)