What are the solutions to the equation 1/2 x^2+5x-1=0 ?

The solutions to the equation 1/2 x^2+5x-1=0 are x=-5+3sqrt(3),x=-5-3sqrt(3)

Find the zeros of 1/2 x^2+5x-1=0

The zeros of 1/2 x^2+5x-1=0 are x=-5+3sqrt(3),x=-5-3sqrt(3)

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\frac{1}{2} x^{2} + 5 x - 1 = 0

x = - 5 + 33, x = - 5 - 33

Decimal Notation

x = 0.19615 \dots, x = - 10.19615 \dots

Solution steps

\frac{1}{2} x^{2} + 5 x - 1 = 0

Multiply both sides by

2

x^{2} + 10 x - 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot ( - 2 )}{2 \cdot 1}

1 0^{2} - 4 \cdot 1 \cdot (- 2) = 63

x_{1, 2} = \frac{- 10 \pm 6 3}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 10 + 6 3}{2 \cdot 1}, x_{2} = \frac{- 10 - 6 3}{2 \cdot 1}

x = \frac{- 10 + 6 3}{2 \cdot 1} : - 5 + 33

x = \frac{- 10 - 6 3}{2 \cdot 1} : - 5 - 33

The solutions to the quadratic equation are:

x = - 5 + 33, x = - 5 - 33

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

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

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

8 x^{2} + 18 x - 24 = 0

6 r^{2} - 7 r + 2 = 0

What are the solutions to the equation 1/2 x^2+5x-1=0 ?
The solutions to the equation 1/2 x^2+5x-1=0 are x=-5+3sqrt(3),x=-5-3sqrt(3)
Find the zeros of 1/2 x^2+5x-1=0
The zeros of 1/2 x^2+5x-1=0 are x=-5+3sqrt(3),x=-5-3sqrt(3)