What are the solutions to the equation 3x^2-14x=2 ?

The solutions to the equation 3x^2-14x=2 are x=(7+sqrt(55))/3 ,x=(7-sqrt(55))/3

Find the zeros of 3x^2-14x=2

The zeros of 3x^2-14x=2 are x=(7+sqrt(55))/3 ,x=(7-sqrt(55))/3

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3 x^{2} - 14 x = 2

x = \frac{7 + 55}{3}, x = \frac{7 - 55}{3}

Decimal Notation

x = 4.80539 \dots, x = - 0.13873 \dots

Solution steps

3 x^{2} - 14 x = 2

Move

2

to the left side

3 x^{2} - 14 x - 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 3 ( - 2 )}{2 \cdot 3}

(- 14)^{2} - 4 \cdot 3 (- 2) = 255

x_{1, 2} = \frac{- ( - 14 ) \pm 2 55}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 14 ) + 2 55}{2 \cdot 3}, x_{2} = \frac{- ( - 14 ) - 2 55}{2 \cdot 3}

x = \frac{- ( - 14 ) + 2 55}{2 \cdot 3} : \frac{7 + 55}{3}

x = \frac{- ( - 14 ) - 2 55}{2 \cdot 3} : \frac{7 - 55}{3}

The solutions to the quadratic equation are:

x = \frac{7 + 55}{3}, x = \frac{7 - 55}{3}

9 x^{2} + 12 x + 4 = 0

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8 y^{2} - 2 y - 1 = 0

v^{2} - 9 v + 20 = 0

X^{2} + 5 X + 4 = 0

What are the solutions to the equation 3x^2-14x=2 ?
The solutions to the equation 3x^2-14x=2 are x=(7+sqrt(55))/3 ,x=(7-sqrt(55))/3
Find the zeros of 3x^2-14x=2
The zeros of 3x^2-14x=2 are x=(7+sqrt(55))/3 ,x=(7-sqrt(55))/3