What are the solutions to the equation 3x^2-4x-8=-6 ?

The solutions to the equation 3x^2-4x-8=-6 are x=(2+sqrt(10))/3 ,x=(2-sqrt(10))/3

Find the zeros of 3x^2-4x-8=-6

The zeros of 3x^2-4x-8=-6 are x=(2+sqrt(10))/3 ,x=(2-sqrt(10))/3

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3 x^{2} - 4 x - 8 = - 6

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

Decimal Notation

x = 1.72075 \dots, x = - 0.38742 \dots

Solution steps

3 x^{2} - 4 x - 8 = - 6

Move

6

to the left side

3 x^{2} - 4 x - 2 = 0

Solve with the quadratic formula

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

(- 4)^{2} - 4 \cdot 3 (- 2) = 210

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

6 y^{2} = - 7 y - 3

x^{2} + 5 x + 38 = 4 - 3 x

\frac{1}{4} (1200 - 3 x^{2}) = 0

x^{2} + 17 x - 60 = 0

0 = - x^{2} - 2 x + 15

What are the solutions to the equation 3x^2-4x-8=-6 ?
The solutions to the equation 3x^2-4x-8=-6 are x=(2+sqrt(10))/3 ,x=(2-sqrt(10))/3
Find the zeros of 3x^2-4x-8=-6
The zeros of 3x^2-4x-8=-6 are x=(2+sqrt(10))/3 ,x=(2-sqrt(10))/3