What are the solutions to the equation 3x^2-8x=8 ?

The solutions to the equation 3x^2-8x=8 are x=(2(2+sqrt(10)))/3 ,x=(2(2-sqrt(10)))/3

Find the zeros of 3x^2-8x=8

The zeros of 3x^2-8x=8 are x=(2(2+sqrt(10)))/3 ,x=(2(2-sqrt(10)))/3

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3 x^{2} - 8 x = 8

x = \frac{2 ( 2 + 10 )}{3}, x = \frac{2 ( 2 - 10 )}{3}

Decimal Notation

x = 3.44151 \dots, x = - 0.77485 \dots

Solution steps

3 x^{2} - 8 x = 8

Move

8

to the left side

3 x^{2} - 8 x - 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 3 ( - 8 )}{2 \cdot 3}

(- 8)^{2} - 4 \cdot 3 (- 8) = 410

x_{1, 2} = \frac{- ( - 8 ) \pm 4 10}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 4 10}{2 \cdot 3}, x_{2} = \frac{- ( - 8 ) - 4 10}{2 \cdot 3}

x = \frac{- ( - 8 ) + 4 10}{2 \cdot 3} : \frac{2 ( 2 + 10 )}{3}

x = \frac{- ( - 8 ) - 4 10}{2 \cdot 3} : \frac{2 ( 2 - 10 )}{3}

The solutions to the quadratic equation are:

x = \frac{2 ( 2 + 10 )}{3}, x = \frac{2 ( 2 - 10 )}{3}

4.69742 x^{2} + 53.20224 x - 4738.618 = 0

4 X^{2} - 5 X - 6 = 0

6 x^{2} - 67 x - 100 = 0

x^{2} - 5 x + (- 25) = 4

\frac{- 11.86666 x ^{2} + 379.0771 x - 2604.10485}{2} = 0

What are the solutions to the equation 3x^2-8x=8 ?
The solutions to the equation 3x^2-8x=8 are x=(2(2+sqrt(10)))/3 ,x=(2(2-sqrt(10)))/3
Find the zeros of 3x^2-8x=8
The zeros of 3x^2-8x=8 are x=(2(2+sqrt(10)))/3 ,x=(2(2-sqrt(10)))/3