What are the solutions to the equation q^2-9q+1=2 ?

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

Find the zeros of q^2-9q+1=2

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

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q^{2} - 9 q + 1 = 2

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

Decimal Notation

q = 9.10977 \dots, q = - 0.10977 \dots

Solution steps

q^{2} - 9 q + 1 = 2

Move

2

to the left side

q^{2} - 9 q - 1 = 0

Solve with the quadratic formula

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

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

q_{1, 2} = \frac{- ( - 9 ) \pm 85}{2 \cdot 1}

Separate the solutions

q_{1} = \frac{- ( - 9 ) + 85}{2 \cdot 1}, q_{2} = \frac{- ( - 9 ) - 85}{2 \cdot 1}

q = \frac{- ( - 9 ) + 85}{2 \cdot 1} : \frac{9 + 85}{2}

q = \frac{- ( - 9 ) - 85}{2 \cdot 1} : \frac{9 - 85}{2}

The solutions to the quadratic equation are:

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

- 3 x^{2} + 7 x - 4 = 0

4 b^{2} - 7 b + 6 = 5

\frac{2 ( x ^{2} + 1 )}{5} - \frac{17 x + 16}{10} = x^{2}

2 y^{2} - 3 y + 1 = 0

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

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