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

The solutions to the equation x^2+3/2 x+1/2 =0 are x=-1/2 ,x=-1

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

The zeros of x^2+3/2 x+1/2 =0 are x=-1/2 ,x=-1

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

x = - \frac{1}{2}, x = - 1

Decimal Notation

x = - 0.5, x = - 1

Solution steps

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

Multiply both sides by

2

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

Solve with the quadratic formula

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

3^{2} - 4 \cdot 2 \cdot 1 = 1

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

Separate the solutions

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

x = \frac{- 3 + 1}{2 \cdot 2} : - \frac{1}{2}

x = \frac{- 3 - 1}{2 \cdot 2} : - 1

The solutions to the quadratic equation are:

x = - \frac{1}{2}, x = - 1

x^{2} + x = 1.5 x^{2}

- 2 \geq - 10

f = 2^{3} - 9 \cdot 2

3 w^{2} - 10 w - 77 = 0

x - 4 = - 10

What are the solutions to the equation x^2+3/2 x+1/2 =0 ?
The solutions to the equation x^2+3/2 x+1/2 =0 are x=-1/2 ,x=-1
Find the zeros of x^2+3/2 x+1/2 =0
The zeros of x^2+3/2 x+1/2 =0 are x=-1/2 ,x=-1