What are the solutions to the equation x^2-1000x-30000=0 ?

The solutions to the equation x^2-1000x-30000=0 are x=100(5+2sqrt(7)),x=100(5-2sqrt(7))

Find the zeros of x^2-1000x-30000=0

The zeros of x^2-1000x-30000=0 are x=100(5+2sqrt(7)),x=100(5-2sqrt(7))

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x^{2} - 1000 x - 30000 = 0

x = 100 (5 + 27), x = 100 (5 - 27)

Decimal Notation

x = 1029.15026 \dots, x = - 29.15026 \dots

Solution steps

x^{2} - 1000 x - 30000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1000 ) \pm ( - 1000 ) ^{2} - 4 \cdot 1 \cdot ( - 30000 )}{2 \cdot 1}

(- 1000)^{2} - 4 \cdot 1 \cdot (- 30000) = 4007

x_{1, 2} = \frac{- ( - 1000 ) \pm 400 7}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 1000 ) + 400 7}{2 \cdot 1}, x_{2} = \frac{- ( - 1000 ) - 400 7}{2 \cdot 1}

x = \frac{- ( - 1000 ) + 400 7}{2 \cdot 1} : 100 (5 + 27)

x = \frac{- ( - 1000 ) - 400 7}{2 \cdot 1} : 100 (5 - 27)

The solutions to the quadratic equation are:

x = 100 (5 + 27), x = 100 (5 - 27)

x, 12 x^{2} + 5 x y - 2 y^{2} = 0

a, \frac{b ^{2}}{c ^{2}} = \frac{1}{1} - \frac{a ^{2}}{c ^{2}}

x, p^{2} + x^{2} + (p^{2} - q^{2}) x - q^{2} = 0

6 + x = x^{2}

x, 2 x^{2} + a \cdot y^{2} - 3 x + 2 y - 1 = 0

What are the solutions to the equation x^2-1000x-30000=0 ?
The solutions to the equation x^2-1000x-30000=0 are x=100(5+2sqrt(7)),x=100(5-2sqrt(7))
Find the zeros of x^2-1000x-30000=0
The zeros of x^2-1000x-30000=0 are x=100(5+2sqrt(7)),x=100(5-2sqrt(7))