What are the solutions to the equation g(g+10)=-6 ?

The solutions to the equation g(g+10)=-6 are g=-5+sqrt(19),g=-5-sqrt(19)

Find the zeros of g(g+10)=-6

The zeros of g(g+10)=-6 are g=-5+sqrt(19),g=-5-sqrt(19)

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g (g + 10) = - 6

g = - 5 + 19, g = - 5 - 19

Decimal Notation

g = - 0.64110 \dots, g = - 9.35889 \dots

Solution steps

g (g + 10) = - 6

Expand

g (g + 10) : g^{2} + 10 g

g^{2} + 10 g = - 6

Move

6

to the left side

g^{2} + 10 g + 6 = 0

Solve with the quadratic formula

g_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot 6}{2 \cdot 1}

1 0^{2} - 4 \cdot 1 \cdot 6 = 219

g_{1, 2} = \frac{- 10 \pm 2 19}{2 \cdot 1}

Separate the solutions

g_{1} = \frac{- 10 + 2 19}{2 \cdot 1}, g_{2} = \frac{- 10 - 2 19}{2 \cdot 1}

g = \frac{- 10 + 2 19}{2 \cdot 1} : - 5 + 19

g = \frac{- 10 - 2 19}{2 \cdot 1} : - 5 - 19

The solutions to the quadratic equation are:

g = - 5 + 19, g = - 5 - 19

1000 x \cdot \frac{x}{2} = 5643 (104 - x)

9^{2} + 1 5^{2} = c^{2}

1200 - 280 x + 12 x^{2} = 0

8 k^{2} = 544

3 x^{2} + 2 x - 8 = 0

What are the solutions to the equation g(g+10)=-6 ?
The solutions to the equation g(g+10)=-6 are g=-5+sqrt(19),g=-5-sqrt(19)
Find the zeros of g(g+10)=-6
The zeros of g(g+10)=-6 are g=-5+sqrt(19),g=-5-sqrt(19)