What are the solutions to the equation solvefor x,x^2-6x-3=0 ?

The solutions to the equation solvefor x,x^2-6x-3=0 are x=3+2sqrt(3),x=3-2sqrt(3)

Find the zeros of solvefor x,x^2-6x-3=0

The zeros of solvefor x,x^2-6x-3=0 are x=3+2sqrt(3),x=3-2sqrt(3)

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Popular >

x, x^{2} - 6 x - 3 = 0

x = 3 + 23, x = 3 - 23

Decimal

x = 6.46410 \dots, x = - 0.46410 \dots

Solution steps

x^{2} - 6 x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 3 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 3) = 43

x_{1, 2} = \frac{- ( - 6 ) \pm 4 3}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 4 3}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 4 3}{2 \cdot 1}

x = \frac{- ( - 6 ) + 4 3}{2 \cdot 1} : 3 + 23

x = \frac{- ( - 6 ) - 4 3}{2 \cdot 1} : 3 - 23

The solutions to the quadratic equation are:

x = 3 + 23, x = 3 - 23

x (x - 4) = 10

12 x^{2} - 60 x + 50 = 0

2 x^{2} - 5 x + 2

3 x^{2} + 6 x - 60

- 2 x^{2} - 36 x - 154 = 0

What are the solutions to the equation solvefor x,x^2-6x-3=0 ?
The solutions to the equation solvefor x,x^2-6x-3=0 are x=3+2sqrt(3),x=3-2sqrt(3)
Find the zeros of solvefor x,x^2-6x-3=0
The zeros of solvefor x,x^2-6x-3=0 are x=3+2sqrt(3),x=3-2sqrt(3)