What are the solutions to the equation 3x^2-30x-11=6x ?

The solutions to the equation 3x^2-30x-11=6x are x=(18+sqrt(357))/3 ,x=(18-sqrt(357))/3

Find the zeros of 3x^2-30x-11=6x

The zeros of 3x^2-30x-11=6x are x=(18+sqrt(357))/3 ,x=(18-sqrt(357))/3

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3 x^{2} - 30 x - 11 = 6 x

x = \frac{18 + 357}{3}, x = \frac{18 - 357}{3}

Decimal Notation

x = 12.29814 \dots, x = - 0.29814 \dots

Solution steps

3 x^{2} - 30 x - 11 = 6 x

Move

6 x

to the left side

3 x^{2} - 36 x - 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 36 ) \pm ( - 36 ) ^{2} - 4 \cdot 3 ( - 11 )}{2 \cdot 3}

(- 36)^{2} - 4 \cdot 3 (- 11) = 2357

x_{1, 2} = \frac{- ( - 36 ) \pm 2 357}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 36 ) + 2 357}{2 \cdot 3}, x_{2} = \frac{- ( - 36 ) - 2 357}{2 \cdot 3}

x = \frac{- ( - 36 ) + 2 357}{2 \cdot 3} : \frac{18 + 357}{3}

x = \frac{- ( - 36 ) - 2 357}{2 \cdot 3} : \frac{18 - 357}{3}

The solutions to the quadratic equation are:

x = \frac{18 + 357}{3}, x = \frac{18 - 357}{3}

\frac{1}{7} \cdot 5

- 3 x + 20 > 2 x + 5

∣ 3 a + 9 ∣ = ∣ 4 a - 1 ∣

\frac{2 a ^{2}}{4 a ^{2} - 4 ab}

\frac{3}{10} \cdot \frac{2}{9} \cdot \frac{1}{8}

What are the solutions to the equation 3x^2-30x-11=6x ?
The solutions to the equation 3x^2-30x-11=6x are x=(18+sqrt(357))/3 ,x=(18-sqrt(357))/3
Find the zeros of 3x^2-30x-11=6x
The zeros of 3x^2-30x-11=6x are x=(18+sqrt(357))/3 ,x=(18-sqrt(357))/3