What are the solutions to the equation 0=9x^2+3x-2 ?

The solutions to the equation 0=9x^2+3x-2 are x= 1/3 ,x=-2/3

Find the zeros of 0=9x^2+3x-2

The zeros of 0=9x^2+3x-2 are x= 1/3 ,x=-2/3

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0 = 9 x^{2} + 3 x - 2

x = \frac{1}{3}, x = - \frac{2}{3}

Decimal Notation

x = 0.33333 \dots, x = - 0.66666 \dots

Solution steps

0 = 9 x^{2} + 3 x - 2

Switch sides

9 x^{2} + 3 x - 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 9 ( - 2 )}{2 \cdot 9}

3^{2} - 4 \cdot 9 (- 2) = 9

x_{1, 2} = \frac{- 3 \pm 9}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- 3 + 9}{2 \cdot 9}, x_{2} = \frac{- 3 - 9}{2 \cdot 9}

x = \frac{- 3 + 9}{2 \cdot 9} : \frac{1}{3}

x = \frac{- 3 - 9}{2 \cdot 9} : - \frac{2}{3}

The solutions to the quadratic equation are:

x = \frac{1}{3}, x = - \frac{2}{3}

x^{2} + 8 x + 41

x^{2} + x + \frac{1}{3} = \frac{2}{3}

12 x = 100 x^{2} - 2 \times 9.8 \times 5

- 2 x^{2} - 5 x = 7

s^{2} + 2 s - 6 = 0

What are the solutions to the equation 0=9x^2+3x-2 ?
The solutions to the equation 0=9x^2+3x-2 are x= 1/3 ,x=-2/3
Find the zeros of 0=9x^2+3x-2
The zeros of 0=9x^2+3x-2 are x= 1/3 ,x=-2/3