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

The solutions to the equation 1=8x+3x^2 are x=(-4+sqrt(19))/3 ,x=-(4+sqrt(19))/3

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

The zeros of 1=8x+3x^2 are x=(-4+sqrt(19))/3 ,x=-(4+sqrt(19))/3

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1 = 8 x + 3 x^{2}

x = \frac{- 4 + 19}{3}, x = - \frac{4 + 19}{3}

Decimal

x = 0.11963 \dots, x = - 2.78629 \dots

Solution steps

1 = 8 x + 3 x^{2}

Switch sides

8 x + 3 x^{2} = 1

Move

1

to the left side

8 x + 3 x^{2} - 1 = 0

Write in the standard form

a x^{2} + b x + c = 0

3 x^{2} + 8 x - 1 = 0

Solve with the quadratic formula

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

8^{2} - 4 \cdot 3 (- 1) = 219

x_{1, 2} = \frac{- 8 \pm 2 19}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 8 + 2 19}{2 \cdot 3}, x_{2} = \frac{- 8 - 2 19}{2 \cdot 3}

x = \frac{- 8 + 2 19}{2 \cdot 3} : \frac{- 4 + 19}{3}

x = \frac{- 8 - 2 19}{2 \cdot 3} : - \frac{4 + 19}{3}

The solutions to the quadratic equation are:

x = \frac{- 4 + 19}{3}, x = - \frac{4 + 19}{3}

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

- 7000 x^{2} - 7280 x = 144551

x, z = x^{2} - y^{2}

x^{2} - 3 x - 130 = 0

x, \frac{x ^{2}}{a} + e = t

What are the solutions to the equation 1=8x+3x^2 ?
The solutions to the equation 1=8x+3x^2 are x=(-4+sqrt(19))/3 ,x=-(4+sqrt(19))/3
Find the zeros of 1=8x+3x^2
The zeros of 1=8x+3x^2 are x=(-4+sqrt(19))/3 ,x=-(4+sqrt(19))/3