What are the solutions to the equation 3x^{(2)}-5x-2=0 ?

The solutions to the equation 3x^{(2)}-5x-2=0 are x=2,x=-1/3

Find the zeros of 3x^{(2)}-5x-2=0

The zeros of 3x^{(2)}-5x-2=0 are x=2,x=-1/3

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3 x^{(2)} - 5 x - 2 = 0

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

Decimal Notation

x = 2, x = - 0.33333 \dots

Solution steps

3 x^{(2)} - 5 x - 2 = 0

Refine

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} : 2

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

The solutions to the quadratic equation are:

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

2 x^{2} - 200 x + 4000

8^{\frac{2}{3}}

11 3^{- \frac{3}{4}}

x^{2} - 245 = 0

\frac{3}{4} \cdot \frac{1}{2}

What are the solutions to the equation 3x^{(2)}-5x-2=0 ?
The solutions to the equation 3x^{(2)}-5x-2=0 are x=2,x=-1/3
Find the zeros of 3x^{(2)}-5x-2=0
The zeros of 3x^{(2)}-5x-2=0 are x=2,x=-1/3