What are the solutions to the equation 3X^2+5X-2=0 ?

The solutions to the equation 3X^2+5X-2=0 are X= 1/3 ,X=-2

Find the zeros of 3X^2+5X-2=0

The zeros of 3X^2+5X-2=0 are X= 1/3 ,X=-2

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

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

Decimal Notation

X = 0.33333 \dots, X = - 2

Solution steps

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

2 x^{2} + 25 = - x^{2} + 10 x

(1 - y) (y - 1) = y^{2}

x^{2} - 5 = \frac{4 x ^{2}}{5}

3 x^{2} - 24 x - 36 = 0

- 3 y^{2} + 120 y - 900 = 0

What are the solutions to the equation 3X^2+5X-2=0 ?
The solutions to the equation 3X^2+5X-2=0 are X= 1/3 ,X=-2
Find the zeros of 3X^2+5X-2=0
The zeros of 3X^2+5X-2=0 are X= 1/3 ,X=-2