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

The solutions to the equation 1/2 x^2+3x-1=0 are x=-3+sqrt(11),x=-3-sqrt(11)

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

The zeros of 1/2 x^2+3x-1=0 are x=-3+sqrt(11),x=-3-sqrt(11)

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

x = - 3 + 11, x = - 3 - 11

Decimal Notation

x = 0.31662 \dots, x = - 6.31662 \dots

Solution steps

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

Multiply both sides by

2

x^{2} + 6 x - 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot ( - 2 )}{2 \cdot 1}

6^{2} - 4 \cdot 1 \cdot (- 2) = 211

x_{1, 2} = \frac{- 6 \pm 2 11}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 6 + 2 11}{2 \cdot 1}, x_{2} = \frac{- 6 - 2 11}{2 \cdot 1}

x = \frac{- 6 + 2 11}{2 \cdot 1} : - 3 + 11

x = \frac{- 6 - 2 11}{2 \cdot 1} : - 3 - 11

The solutions to the quadratic equation are:

x = - 3 + 11, x = - 3 - 11

2 x - 7 = 5 x - 19

4 + \frac{5}{4}

\frac{3 ^{a}}{9}

1 - 49 p^{10}

y^{2} + 11 y + 28

What are the solutions to the equation 1/2 x^2+3x-1=0 ?
The solutions to the equation 1/2 x^2+3x-1=0 are x=-3+sqrt(11),x=-3-sqrt(11)
Find the zeros of 1/2 x^2+3x-1=0
The zeros of 1/2 x^2+3x-1=0 are x=-3+sqrt(11),x=-3-sqrt(11)