What are the solutions to the equation x^2-109=-8x ?

The solutions to the equation x^2-109=-8x are x=-4+5sqrt(5),x=-4-5sqrt(5)

Find the zeros of x^2-109=-8x

The zeros of x^2-109=-8x are x=-4+5sqrt(5),x=-4-5sqrt(5)

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x^{2} - 109 = - 8 x

x = - 4 + 55, x = - 4 - 55

Decimal Notation

x = 7.18033 \dots, x = - 15.18033 \dots

Solution steps

x^{2} - 109 = - 8 x

Move

8 x

to the left side

x^{2} - 109 + 8 x = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} + 8 x - 109 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 1 \cdot ( - 109 )}{2 \cdot 1}

8^{2} - 4 \cdot 1 \cdot (- 109) = 105

x_{1, 2} = \frac{- 8 \pm 10 5}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 8 + 10 5}{2 \cdot 1}, x_{2} = \frac{- 8 - 10 5}{2 \cdot 1}

x = \frac{- 8 + 10 5}{2 \cdot 1} : - 4 + 55

x = \frac{- 8 - 10 5}{2 \cdot 1} : - 4 - 55

The solutions to the quadratic equation are:

x = - 4 + 55, x = - 4 - 55

3 (x + 7)^{2} - 32 = - 29

x^{2} + 5 x - 14 = 0

6 b^{2} - 7 b - 21 = - 1

2 (x^{2} - 7) + 3 = - 3

x^{2} + 52 = - 12 x

What are the solutions to the equation x^2-109=-8x ?
The solutions to the equation x^2-109=-8x are x=-4+5sqrt(5),x=-4-5sqrt(5)
Find the zeros of x^2-109=-8x
The zeros of x^2-109=-8x are x=-4+5sqrt(5),x=-4-5sqrt(5)