What are the solutions to the equation 8+5x-3x^2=4x+1 ?

The solutions to the equation 8+5x-3x^2=4x+1 are x=-(-1+sqrt(85))/6 ,x=(1+sqrt(85))/6

Find the zeros of 8+5x-3x^2=4x+1

The zeros of 8+5x-3x^2=4x+1 are x=-(-1+sqrt(85))/6 ,x=(1+sqrt(85))/6

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8 + 5 x - 3 x^{2} = 4 x + 1

x = - \frac{- 1 + 85}{6}, x = \frac{1 + 85}{6}

Decimal

x = - 1.36992 \dots, x = 1.70325 \dots

Solution steps

8 + 5 x - 3 x^{2} = 4 x + 1

Move

1

to the left side

- 3 x^{2} + 5 x + 7 = 4 x

Move

4 x

to the left side

- 3 x^{2} + x + 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 ( - 3 ) \cdot 7}{2 ( - 3 )}

1^{2} - 4 (- 3) \cdot 7 = 85

x_{1, 2} = \frac{- 1 \pm 85}{2 ( - 3 )}

Separate the solutions

x_{1} = \frac{- 1 + 85}{2 ( - 3 )}, x_{2} = \frac{- 1 - 85}{2 ( - 3 )}

x = \frac{- 1 + 85}{2 ( - 3 )} : - \frac{- 1 + 85}{6}

x = \frac{- 1 - 85}{2 ( - 3 )} : \frac{1 + 85}{6}

The solutions to the quadratic equation are:

x = - \frac{- 1 + 85}{6}, x = \frac{1 + 85}{6}

x, x^{2} - 4 x y + 2 y^{2} = 6

1 - 121 x^{2} = 0

- 30 x = 9 x^{2} + 25

x^{2} + \frac{2}{3} x

\frac{9.81}{2} x^{2} - 90 x - 150 = 0

What are the solutions to the equation 8+5x-3x^2=4x+1 ?
The solutions to the equation 8+5x-3x^2=4x+1 are x=-(-1+sqrt(85))/6 ,x=(1+sqrt(85))/6
Find the zeros of 8+5x-3x^2=4x+1
The zeros of 8+5x-3x^2=4x+1 are x=-(-1+sqrt(85))/6 ,x=(1+sqrt(85))/6