What are the solutions to the equation 3x^2+7x-3=0 ?

The solutions to the equation 3x^2+7x-3=0 are x=(-7+sqrt(85))/6 ,x=(-7-sqrt(85))/6

Find the zeros of 3x^2+7x-3=0

The zeros of 3x^2+7x-3=0 are x=(-7+sqrt(85))/6 ,x=(-7-sqrt(85))/6

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3 x^{2} + 7 x - 3 = 0

x = \frac{- 7 + 85}{6}, x = \frac{- 7 - 85}{6}

Decimal Notation

x = 0.36992 \dots, x = - 2.70325 \dots

Solution steps

3 x^{2} + 7 x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 3 ( - 3 )}{2 \cdot 3}

7^{2} - 4 \cdot 3 (- 3) = 85

x_{1, 2} = \frac{- 7 \pm 85}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 7 + 85}{2 \cdot 3}, x_{2} = \frac{- 7 - 85}{2 \cdot 3}

x = \frac{- 7 + 85}{2 \cdot 3} : \frac{- 7 + 85}{6}

x = \frac{- 7 - 85}{2 \cdot 3} : \frac{- 7 - 85}{6}

The solutions to the quadratic equation are:

x = \frac{- 7 + 85}{6}, x = \frac{- 7 - 85}{6}

x^{2} + 40 = 4

100 x^{2} - 25 = 0

(x - 7)^{2} = 32

- 2 x^{2} - 6 x + 8 = 0

16 x^{2} + 40 x + 25 = 0

What are the solutions to the equation 3x^2+7x-3=0 ?
The solutions to the equation 3x^2+7x-3=0 are x=(-7+sqrt(85))/6 ,x=(-7-sqrt(85))/6
Find the zeros of 3x^2+7x-3=0
The zeros of 3x^2+7x-3=0 are x=(-7+sqrt(85))/6 ,x=(-7-sqrt(85))/6