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

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

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

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

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

x = - 1, x = - 3

Solution steps

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

Multiply both sides by

2

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

Solve with the quadratic formula

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

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

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

Separate the solutions

x_{1} = \frac{- 4 + 2}{2 \cdot 1}, x_{2} = \frac{- 4 - 2}{2 \cdot 1}

x = \frac{- 4 + 2}{2 \cdot 1} : - 1

x = \frac{- 4 - 2}{2 \cdot 1} : - 3

The solutions to the quadratic equation are:

x = - 1, x = - 3

- \frac{1}{10} (x + 10) (x - 20)

100 x - x^{2} + 800 = 0

7 x^{2} + 4 \cdot (- 3) = 0

(x - \frac{1}{2})^{2} = x - \frac{1}{2}

y, y^{2} - 8 y + 16 = 0

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