What are the solutions to the equation x(x+9)=1 ?

The solutions to the equation x(x+9)=1 are x=(-9+sqrt(85))/2 ,x=(-9-sqrt(85))/2

Find the zeros of x(x+9)=1

The zeros of x(x+9)=1 are x=(-9+sqrt(85))/2 ,x=(-9-sqrt(85))/2

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x (x + 9) = 1

x = \frac{- 9 + 85}{2}, x = \frac{- 9 - 85}{2}

Decimal Notation

x = 0.10977 \dots, x = - 9.10977 \dots

Solution steps

x (x + 9) = 1

Expand

x (x + 9) : x^{2} + 9 x

x^{2} + 9 x = 1

Move

1

to the left side

x^{2} + 9 x - 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 9 \pm 9 ^{2} - 4 \cdot 1 \cdot ( - 1 )}{2 \cdot 1}

9^{2} - 4 \cdot 1 \cdot (- 1) = 85

x_{1, 2} = \frac{- 9 \pm 85}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 9 + 85}{2 \cdot 1}, x_{2} = \frac{- 9 - 85}{2 \cdot 1}

x = \frac{- 9 + 85}{2 \cdot 1} : \frac{- 9 + 85}{2}

x = \frac{- 9 - 85}{2 \cdot 1} : \frac{- 9 - 85}{2}

The solutions to the quadratic equation are:

x = \frac{- 9 + 85}{2}, x = \frac{- 9 - 85}{2}

(t - 4) (t + 6) = 5

x^{2} + 6 x - 22 = 0

x, x^{2} + y^{2} - 18 x + 81 = 0

X^{2} - 7 X + 12 = 0

- 9 n^{2} + 2 n + 21 = - 5 n^{2}

What are the solutions to the equation x(x+9)=1 ?
The solutions to the equation x(x+9)=1 are x=(-9+sqrt(85))/2 ,x=(-9-sqrt(85))/2
Find the zeros of x(x+9)=1
The zeros of x(x+9)=1 are x=(-9+sqrt(85))/2 ,x=(-9-sqrt(85))/2