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

The solutions to the equation x^2+1/2 x=2 are x=(-1+sqrt(33))/4 ,x=(-1-sqrt(33))/4

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

The zeros of x^2+1/2 x=2 are x=(-1+sqrt(33))/4 ,x=(-1-sqrt(33))/4

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

x = \frac{- 1 + 33}{4}, x = \frac{- 1 - 33}{4}

Decimal Notation

x = 1.18614 \dots, x = - 1.68614 \dots

Solution steps

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

Multiply both sides by

2

2 x^{2} + x = 4

Move

4

to the left side

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

Solve with the quadratic formula

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

1^{2} - 4 \cdot 2 (- 4) = 33

x_{1, 2} = \frac{- 1 \pm 33}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 1 + 33}{2 \cdot 2}, x_{2} = \frac{- 1 - 33}{2 \cdot 2}

x = \frac{- 1 + 33}{2 \cdot 2} : \frac{- 1 + 33}{4}

x = \frac{- 1 - 33}{2 \cdot 2} : \frac{- 1 - 33}{4}

The solutions to the quadratic equation are:

x = \frac{- 1 + 33}{4}, x = \frac{- 1 - 33}{4}

5 x^{2} - 8 x - 25 = 0

300 - \frac{3}{4} x^{2} = 0

2 x^{2} + 5 x - 3 = 0

11 x^{2} + 20 x - 84 = 0

k^{2} + 12 k + 36 = 0

What are the solutions to the equation x^2+1/2 x=2 ?
The solutions to the equation x^2+1/2 x=2 are x=(-1+sqrt(33))/4 ,x=(-1-sqrt(33))/4
Find the zeros of x^2+1/2 x=2
The zeros of x^2+1/2 x=2 are x=(-1+sqrt(33))/4 ,x=(-1-sqrt(33))/4