What are the solutions to the equation 5x^2+15x+5=-6 ?

The solutions to the equation 5x^2+15x+5=-6 are x=(-15+sqrt(5))/(10),x=(-15-sqrt(5))/(10)

Find the zeros of 5x^2+15x+5=-6

The zeros of 5x^2+15x+5=-6 are x=(-15+sqrt(5))/(10),x=(-15-sqrt(5))/(10)

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5 x^{2} + 15 x + 5 = - 6

x = \frac{- 15 + 5}{10}, x = \frac{- 15 - 5}{10}

Decimal Notation

x = - 1.27639 \dots, x = - 1.72360 \dots

Solution steps

5 x^{2} + 15 x + 5 = - 6

Move

6

to the left side

5 x^{2} + 15 x + 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 \cdot 5 \cdot 11}{2 \cdot 5}

1 5^{2} - 4 \cdot 5 \cdot 11 = 5

x_{1, 2} = \frac{- 15 \pm 5}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 15 + 5}{2 \cdot 5}, x_{2} = \frac{- 15 - 5}{2 \cdot 5}

x = \frac{- 15 + 5}{2 \cdot 5} : \frac{- 15 + 5}{10}

x = \frac{- 15 - 5}{2 \cdot 5} : \frac{- 15 - 5}{10}

The solutions to the quadratic equation are:

x = \frac{- 15 + 5}{10}, x = \frac{- 15 - 5}{10}

3 x^{3} + 6 x^{2} + 9 x

x^{(2)} - x - 30 = 0

8 = 9

\frac{1}{6}

- 2.8 x + 5.6 < 8.4

What are the solutions to the equation 5x^2+15x+5=-6 ?
The solutions to the equation 5x^2+15x+5=-6 are x=(-15+sqrt(5))/(10),x=(-15-sqrt(5))/(10)
Find the zeros of 5x^2+15x+5=-6
The zeros of 5x^2+15x+5=-6 are x=(-15+sqrt(5))/(10),x=(-15-sqrt(5))/(10)