What are the solutions to the equation 1/2 x^2+2x+1/10 =0 ?

The solutions to the equation 1/2 x^2+2x+1/10 =0 are x=(-10+sqrt(95))/5 ,x=-(10+sqrt(95))/5

Find the zeros of 1/2 x^2+2x+1/10 =0

The zeros of 1/2 x^2+2x+1/10 =0 are x=(-10+sqrt(95))/5 ,x=-(10+sqrt(95))/5

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\frac{1}{2} x^{2} + 2 x + \frac{1}{10} = 0

x = \frac{- 10 + 95}{5}, x = - \frac{10 + 95}{5}

Decimal Notation

x = - 0.05064 \dots, x = - 3.94935 \dots

Solution steps

\frac{1}{2} x^{2} + 2 x + \frac{1}{10} = 0

Find Least Common Multiplier of

2, 10 : 10

Multiply by LCM=

10

\frac{1}{2} x^{2} \cdot 10 + 2 x \cdot 10 + \frac{1}{10} \cdot 10 = 0 \cdot 10

Simplify

5 x^{2} + 20 x + 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 20 \pm 2 0 ^{2} - 4 \cdot 5 \cdot 1}{2 \cdot 5}

2 0^{2} - 4 \cdot 5 \cdot 1 = 295

x_{1, 2} = \frac{- 20 \pm 2 95}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 20 + 2 95}{2 \cdot 5}, x_{2} = \frac{- 20 - 2 95}{2 \cdot 5}

x = \frac{- 20 + 2 95}{2 \cdot 5} : \frac{- 10 + 95}{5}

x = \frac{- 20 - 2 95}{2 \cdot 5} : - \frac{10 + 95}{5}

The solutions to the quadratic equation are:

x = \frac{- 10 + 95}{5}, x = - \frac{10 + 95}{5}

10 x^{2} + 15 x + 7 = 0

4 (x^{2} - 9) - 8 = - 19

b, \frac{b ^{2}}{2} - \frac{t ^{2}}{8} = 1

y, x^{2} - 3 x y + 2 y^{2} = 0

x, 80 = - 42 x - x^{2}

What are the solutions to the equation 1/2 x^2+2x+1/10 =0 ?
The solutions to the equation 1/2 x^2+2x+1/10 =0 are x=(-10+sqrt(95))/5 ,x=-(10+sqrt(95))/5
Find the zeros of 1/2 x^2+2x+1/10 =0
The zeros of 1/2 x^2+2x+1/10 =0 are x=(-10+sqrt(95))/5 ,x=-(10+sqrt(95))/5