What are the solutions to the equation x^2+14x=-2 ?

The solutions to the equation x^2+14x=-2 are x=-7+sqrt(47),x=-7-sqrt(47)

Find the zeros of x^2+14x=-2

The zeros of x^2+14x=-2 are x=-7+sqrt(47),x=-7-sqrt(47)

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x^{2} + 14 x = - 2

x = - 7 + 47, x = - 7 - 47

Decimal Notation

x = - 0.14434 \dots, x = - 13.85565 \dots

Solution steps

x^{2} + 14 x = - 2

Move

2

to the left side

x^{2} + 14 x + 2 = 0

Solve with the quadratic formula

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

1 4^{2} - 4 \cdot 1 \cdot 2 = 247

x_{1, 2} = \frac{- 14 \pm 2 47}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 14 + 2 47}{2 \cdot 1}, x_{2} = \frac{- 14 - 2 47}{2 \cdot 1}

x = \frac{- 14 + 2 47}{2 \cdot 1} : - 7 + 47

x = \frac{- 14 - 2 47}{2 \cdot 1} : - 7 - 47

The solutions to the quadratic equation are:

x = - 7 + 47, x = - 7 - 47

7 x^{2} + 8 x - 22 = 0

x^{2} + 10 x + 16 = 0

(a x + b) (c x - d) = 4 x^{2} - 25

(5 x - 2)^{2} - (3 x + 1)^{2} - x^{2} = 60

- 16 x^{2} + 185 x + 13 = 322

What are the solutions to the equation x^2+14x=-2 ?
The solutions to the equation x^2+14x=-2 are x=-7+sqrt(47),x=-7-sqrt(47)
Find the zeros of x^2+14x=-2
The zeros of x^2+14x=-2 are x=-7+sqrt(47),x=-7-sqrt(47)