What are the solutions to the equation 9x^2+17x+9=3x^2 ?

The solutions to the equation 9x^2+17x+9=3x^2 are x=(-17+sqrt(73))/(12),x=(-17-sqrt(73))/(12)

Find the zeros of 9x^2+17x+9=3x^2

The zeros of 9x^2+17x+9=3x^2 are x=(-17+sqrt(73))/(12),x=(-17-sqrt(73))/(12)

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9 x^{2} + 17 x + 9 = 3 x^{2}

x = \frac{- 17 + 73}{12}, x = \frac{- 17 - 73}{12}

Decimal Notation

x = - 0.70466 \dots, x = - 2.12866 \dots

Solution steps

9 x^{2} + 17 x + 9 = 3 x^{2}

Move

3 x^{2}

to the left side

6 x^{2} + 17 x + 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 17 \pm 1 7 ^{2} - 4 \cdot 6 \cdot 9}{2 \cdot 6}

1 7^{2} - 4 \cdot 6 \cdot 9 = 73

x_{1, 2} = \frac{- 17 \pm 73}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 17 + 73}{2 \cdot 6}, x_{2} = \frac{- 17 - 73}{2 \cdot 6}

x = \frac{- 17 + 73}{2 \cdot 6} : \frac{- 17 + 73}{12}

x = \frac{- 17 - 73}{2 \cdot 6} : \frac{- 17 - 73}{12}

The solutions to the quadratic equation are:

x = \frac{- 17 + 73}{12}, x = \frac{- 17 - 73}{12}

- x^{2} - 3 x - 6 = 5 x - 8

24 x^{2} = 3

7 x (x + 4) + 6 = 5

x (5 x - 8) = - 3

2 (x + 4)^{2} = 9

What are the solutions to the equation 9x^2+17x+9=3x^2 ?
The solutions to the equation 9x^2+17x+9=3x^2 are x=(-17+sqrt(73))/(12),x=(-17-sqrt(73))/(12)
Find the zeros of 9x^2+17x+9=3x^2
The zeros of 9x^2+17x+9=3x^2 are x=(-17+sqrt(73))/(12),x=(-17-sqrt(73))/(12)