What are the solutions to the equation x^2-6000x-3000000=0 ?

The solutions to the equation x^2-6000x-3000000=0 are x=1000(3+2sqrt(3)),x=1000(3-2sqrt(3))

Find the zeros of x^2-6000x-3000000=0

The zeros of x^2-6000x-3000000=0 are x=1000(3+2sqrt(3)),x=1000(3-2sqrt(3))

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x^{2} - 6000 x - 3000000 = 0

x = 1000 (3 + 23), x = 1000 (3 - 23)

Decimal Notation

x = 6464.10161 \dots, x = - 464.10161 \dots

Solution steps

x^{2} - 6000 x - 3000000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6000 ) \pm ( - 6000 ) ^{2} - 4 \cdot 1 \cdot ( - 3000000 )}{2 \cdot 1}

(- 6000)^{2} - 4 \cdot 1 \cdot (- 3000000) = 40003

x_{1, 2} = \frac{- ( - 6000 ) \pm 4000 3}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6000 ) + 4000 3}{2 \cdot 1}, x_{2} = \frac{- ( - 6000 ) - 4000 3}{2 \cdot 1}

x = \frac{- ( - 6000 ) + 4000 3}{2 \cdot 1} : 1000 (3 + 23)

x = \frac{- ( - 6000 ) - 4000 3}{2 \cdot 1} : 1000 (3 - 23)

The solutions to the quadratic equation are:

x = 1000 (3 + 23), x = 1000 (3 - 23)

5 x^{2} + 9 x = - 3

0 = x (x + 3)

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

5 x^{2} + 6 x = 3

1.5 x^{2} - 13 x + 15 = 0

What are the solutions to the equation x^2-6000x-3000000=0 ?
The solutions to the equation x^2-6000x-3000000=0 are x=1000(3+2sqrt(3)),x=1000(3-2sqrt(3))
Find the zeros of x^2-6000x-3000000=0
The zeros of x^2-6000x-3000000=0 are x=1000(3+2sqrt(3)),x=1000(3-2sqrt(3))