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

The solutions to the equation x^2-1/2 x-2=0 are x=(1+sqrt(33))/4 ,x=(1-sqrt(33))/4

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

The zeros of x^2-1/2 x-2=0 are x=(1+sqrt(33))/4 ,x=(1-sqrt(33))/4

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

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

Decimal Notation

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

Solution steps

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

Multiply both sides by

2

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}

x, x y^{2} - 2 x^{2} y = 4

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

7 x^{2} - 20 x = 3

x, 3 x^{2} - y^{2} - 12 x + 2 y + 11 = 0

x \cdot (20 x - 21) = 27

What are the solutions to the equation x^2-1/2 x-2=0 ?
The solutions to the equation x^2-1/2 x-2=0 are x=(1+sqrt(33))/4 ,x=(1-sqrt(33))/4
Find the zeros of x^2-1/2 x-2=0
The zeros of x^2-1/2 x-2=0 are x=(1+sqrt(33))/4 ,x=(1-sqrt(33))/4