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

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

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

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

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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

9 x^{2} + 3 x = 2

Move

2

to the left side

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}

15 x^{2} + 34 x + 15 = 0

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

7 x^{2} - 27 x + 1 = 5

x^{2} + 3 x + 1 = 0

x^{2} + 10 x + 14 = 0

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