What are the solutions to the equation 3x^2-6x=5 ?

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

Find the zeros of 3x^2-6x=5

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

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3 x^{2} - 6 x = 5

x = \frac{3 + 2 6}{3}, x = \frac{3 - 2 6}{3}

Decimal Notation

x = 2.63299 \dots, x = - 0.63299 \dots

Solution steps

3 x^{2} - 6 x = 5

Move

5

to the left side

3 x^{2} - 6 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 3 ( - 5 )}{2 \cdot 3}

(- 6)^{2} - 4 \cdot 3 (- 5) = 46

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = \frac{3 + 2 6}{3}, x = \frac{3 - 2 6}{3}

x^{2} - 6 x - 5 = 2

x^{2} + (3 x - 10)^{2} = 100

5 x^{2} - 7 x - 11 = 0

- x = 2 x - x^{2}

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

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