What are the solutions to the equation roots 3x^2+5x-2 ?

The solutions to the equation roots 3x^2+5x-2 are x= 1/3 ,x=-2

Find the zeros of roots 3x^2+5x-2

The zeros of roots 3x^2+5x-2 are x= 1/3 ,x=-2

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roots

3 x^{2} + 5 x - 2

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

Solution steps

3 x^{2} + 5 x - 2

The roots are the intercepts with the x-axis

(y = 0)

3 x^{2} + 5 x - 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 3 ( - 2 )}{2 \cdot 3}

5^{2} - 4 \cdot 3 (- 2) = 7

x_{1, 2} = \frac{- 5 \pm 7}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 5 + 7}{2 \cdot 3}, x_{2} = \frac{- 5 - 7}{2 \cdot 3}

x = \frac{- 5 + 7}{2 \cdot 3} : \frac{1}{3}

x = \frac{- 5 - 7}{2 \cdot 3} : - 2

The solutions to the quadratic equation are:

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

- 12 = - 3 (x - 3)^{2}

x^{2} - x + \frac{6}{25} = 0

\frac{1}{7} p^{2} = \frac{5}{7} p^{2} - 20

2 x^{2} + 12 x - 3

4.9 t^{2} + 6 t + 2 = 0

What are the solutions to the equation roots 3x^2+5x-2 ?
The solutions to the equation roots 3x^2+5x-2 are x= 1/3 ,x=-2
Find the zeros of roots 3x^2+5x-2
The zeros of roots 3x^2+5x-2 are x= 1/3 ,x=-2