What are the solutions to the equation solvefor x,x^2+8x+1=0 ?

The solutions to the equation solvefor x,x^2+8x+1=0 are x=-4+sqrt(15),x=-4-sqrt(15)

Find the zeros of solvefor x,x^2+8x+1=0

The zeros of solvefor x,x^2+8x+1=0 are x=-4+sqrt(15),x=-4-sqrt(15)

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x, x^{2} + 8 x + 1 = 0

x = - 4 + 15, x = - 4 - 15

Decimal Notation

x = - 0.12701 \dots, x = - 7.87298 \dots

Solution steps

x^{2} + 8 x + 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 1 \cdot 1}{2 \cdot 1}

8^{2} - 4 \cdot 1 \cdot 1 = 215

x_{1, 2} = \frac{- 8 \pm 2 15}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 8 + 2 15}{2 \cdot 1}, x_{2} = \frac{- 8 - 2 15}{2 \cdot 1}

x = \frac{- 8 + 2 15}{2 \cdot 1} : - 4 + 15

x = \frac{- 8 - 2 15}{2 \cdot 1} : - 4 - 15

The solutions to the quadratic equation are:

x = - 4 + 15, x = - 4 - 15

6 x = 2 x^{2} + 3

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

(x + 3)^{2} - 2 = 0

3 x^{2} + 60 = 36 x

49 x^{2} + 70 x + 25 = 0

What are the solutions to the equation solvefor x,x^2+8x+1=0 ?
The solutions to the equation solvefor x,x^2+8x+1=0 are x=-4+sqrt(15),x=-4-sqrt(15)
Find the zeros of solvefor x,x^2+8x+1=0
The zeros of solvefor x,x^2+8x+1=0 are x=-4+sqrt(15),x=-4-sqrt(15)