What are the solutions to the equation 9x^2+3x=20 ?

The solutions to the equation 9x^2+3x=20 are x= 4/3 ,x=-5/3

Find the zeros of 9x^2+3x=20

The zeros of 9x^2+3x=20 are x= 4/3 ,x=-5/3

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9 x^{2} + 3 x = 20

x = \frac{4}{3}, x = - \frac{5}{3}

Decimal

x = 1.33333 \dots, x = - 1.66666 \dots

Solution steps

9 x^{2} + 3 x = 20

Move

20

to the left side

9 x^{2} + 3 x - 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 9 ( - 20 )}{2 \cdot 9}

3^{2} - 4 \cdot 9 (- 20) = 27

x_{1, 2} = \frac{- 3 \pm 27}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- 3 + 27}{2 \cdot 9}, x_{2} = \frac{- 3 - 27}{2 \cdot 9}

x = \frac{- 3 + 27}{2 \cdot 9} : \frac{4}{3}

x = \frac{- 3 - 27}{2 \cdot 9} : - \frac{5}{3}

The solutions to the quadratic equation are:

x = \frac{4}{3}, x = - \frac{5}{3}

- (\frac{3}{2})^{0}

\frac{x}{2} = x

4 \cdot 17

2 (x - 3 y)^{2} + 4 x (x - 3 y)

12 x + 4 y - 3 x + 2 - 8 y^{2} + 3^{2}

What are the solutions to the equation 9x^2+3x=20 ?
The solutions to the equation 9x^2+3x=20 are x= 4/3 ,x=-5/3
Find the zeros of 9x^2+3x=20
The zeros of 9x^2+3x=20 are x= 4/3 ,x=-5/3