What are the solutions to the equation 4x+2/3 x^2-1=0 ?

The solutions to the equation 4x+2/3 x^2-1=0 are x=(-6+sqrt(42))/2 ,x=-(6+sqrt(42))/2

Find the zeros of 4x+2/3 x^2-1=0

The zeros of 4x+2/3 x^2-1=0 are x=(-6+sqrt(42))/2 ,x=-(6+sqrt(42))/2

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4 x + \frac{2}{3} x^{2} - 1 = 0

x = \frac{- 6 + 42}{2}, x = - \frac{6 + 42}{2}

Decimal Notation

x = 0.24037 \dots, x = - 6.24037 \dots

Solution steps

4 x + \frac{2}{3} x^{2} - 1 = 0

Multiply both sides by

3

2 x^{2} + 12 x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 2 ( - 3 )}{2 \cdot 2}

1 2^{2} - 4 \cdot 2 (- 3) = 242

x_{1, 2} = \frac{- 12 \pm 2 42}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 12 + 2 42}{2 \cdot 2}, x_{2} = \frac{- 12 - 2 42}{2 \cdot 2}

x = \frac{- 12 + 2 42}{2 \cdot 2} : \frac{- 6 + 42}{2}

x = \frac{- 12 - 2 42}{2 \cdot 2} : - \frac{6 + 42}{2}

The solutions to the quadratic equation are:

x = \frac{- 6 + 42}{2}, x = - \frac{6 + 42}{2}

(1 - x^{2}) \cdot (- 3 - x^{3} - 2) = 0

a^{2} + 1 0^{2} = 1 6^{2}

10 x^{2} + 1 = 0

21 - 2 x^{2} = - 51

x (x + 36) = 5152

What are the solutions to the equation 4x+2/3 x^2-1=0 ?
The solutions to the equation 4x+2/3 x^2-1=0 are x=(-6+sqrt(42))/2 ,x=-(6+sqrt(42))/2
Find the zeros of 4x+2/3 x^2-1=0
The zeros of 4x+2/3 x^2-1=0 are x=(-6+sqrt(42))/2 ,x=-(6+sqrt(42))/2