What are the solutions to the equation 3x^2-6x=65 ?

The solutions to the equation 3x^2-6x=65 are x=(3+2sqrt(51))/3 ,x=(3-2sqrt(51))/3

Find the zeros of 3x^2-6x=65

The zeros of 3x^2-6x=65 are x=(3+2sqrt(51))/3 ,x=(3-2sqrt(51))/3

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3 x^{2} - 6 x = 65

x = \frac{3 + 2 51}{3}, x = \frac{3 - 2 51}{3}

Decimal Notation

x = 5.76095 \dots, x = - 3.76095 \dots

Solution steps

3 x^{2} - 6 x = 65

Move

65

to the left side

3 x^{2} - 6 x - 65 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 3 ( - 65 )}{2 \cdot 3}

(- 6)^{2} - 4 \cdot 3 (- 65) = 451

x_{1, 2} = \frac{- ( - 6 ) \pm 4 51}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 4 51}{2 \cdot 3}, x_{2} = \frac{- ( - 6 ) - 4 51}{2 \cdot 3}

x = \frac{- ( - 6 ) + 4 51}{2 \cdot 3} : \frac{3 + 2 51}{3}

x = \frac{- ( - 6 ) - 4 51}{2 \cdot 3} : \frac{3 - 2 51}{3}

The solutions to the quadratic equation are:

x = \frac{3 + 2 51}{3}, x = \frac{3 - 2 51}{3}

x, x^{2} y - 12 = 0

- 3 c^{2} + 3 c = c - 3

x^{2} - \frac{26 x}{5} - \frac{24}{5} = 0

7 a^{2} - 29 a - 30 = 0

200 = \frac{2}{125} t^{2} - \frac{16}{5} t + 320

What are the solutions to the equation 3x^2-6x=65 ?
The solutions to the equation 3x^2-6x=65 are x=(3+2sqrt(51))/3 ,x=(3-2sqrt(51))/3
Find the zeros of 3x^2-6x=65
The zeros of 3x^2-6x=65 are x=(3+2sqrt(51))/3 ,x=(3-2sqrt(51))/3