What are the solutions to the equation 3x^2-7x-5=0 ?

The solutions to the equation 3x^2-7x-5=0 are x=(7+sqrt(109))/6 ,x=(7-sqrt(109))/6

Find the zeros of 3x^2-7x-5=0

The zeros of 3x^2-7x-5=0 are x=(7+sqrt(109))/6 ,x=(7-sqrt(109))/6

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3 x^{2} - 7 x - 5 = 0

x = \frac{7 + 109}{6}, x = \frac{7 - 109}{6}

Solution steps

3 x^{2} - 7 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 3 ( - 5 )}{2 \cdot 3}

(- 7)^{2} - 4 \cdot 3 (- 5) = 109

x_{1, 2} = \frac{- ( - 7 ) \pm 109}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 109}{2 \cdot 3}, x_{2} = \frac{- ( - 7 ) - 109}{2 \cdot 3}

x = \frac{- ( - 7 ) + 109}{2 \cdot 3} : \frac{7 + 109}{6}

x = \frac{- ( - 7 ) - 109}{2 \cdot 3} : \frac{7 - 109}{6}

The solutions to the quadratic equation are:

x = \frac{7 + 109}{6}, x = \frac{7 - 109}{6}

1 + 2 + 3 + 4 + 5

(\frac{2 x ^{2}}{x ^{3}})^{- 4}

6 x^{2} - 7 x y - 3 y^{2}

2 a - 2

2 (x - 3) \leq 3 + 2 x

What are the solutions to the equation 3x^2-7x-5=0 ?
The solutions to the equation 3x^2-7x-5=0 are x=(7+sqrt(109))/6 ,x=(7-sqrt(109))/6
Find the zeros of 3x^2-7x-5=0
The zeros of 3x^2-7x-5=0 are x=(7+sqrt(109))/6 ,x=(7-sqrt(109))/6