What are the solutions to the equation x^2-sqrt(3)x-2=0 ?

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

Find the zeros of x^2-sqrt(3)x-2=0

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

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

x = \frac{3 + 11}{2}, x = \frac{3 - 11}{2}

Decimal Notation

x = 2.52433 \dots, x = - 0.79228 \dots

Solution steps

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 1 \cdot ( - 2 )}{2 \cdot 1}

(- 3)^{2} - 4 \cdot 1 \cdot (- 2) = 11

x_{1, 2} = \frac{- ( - 3 ) \pm 11}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 11}{2 \cdot 1}, x_{2} = \frac{- ( - 3 ) - 11}{2 \cdot 1}

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

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

The solutions to the quadratic equation are:

x = \frac{3 + 11}{2}, x = \frac{3 - 11}{2}

5 x^{2} + 3 x + 1 = 0

\frac{\frac{- 1}{2}}{\frac{3}{2}}

10 x + 9 \leq 5 + 9

a^{2} + 17 a + 60

2 (3 x + 8) = 40

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