What are the solutions to the equation x^2-100x-300=0 ?

The solutions to the equation x^2-100x-300=0 are x=10(5+2sqrt(7)),x=10(5-2sqrt(7))

Find the zeros of x^2-100x-300=0

The zeros of x^2-100x-300=0 are x=10(5+2sqrt(7)),x=10(5-2sqrt(7))

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x^{2} - 100 x - 300 = 0

x = 10 (5 + 27), x = 10 (5 - 27)

Decimal Notation

x = 102.91502 \dots, x = - 2.91502 \dots

Solution steps

x^{2} - 100 x - 300 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 100 ) \pm ( - 100 ) ^{2} - 4 \cdot 1 \cdot ( - 300 )}{2 \cdot 1}

(- 100)^{2} - 4 \cdot 1 \cdot (- 300) = 407

x_{1, 2} = \frac{- ( - 100 ) \pm 40 7}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 100 ) + 40 7}{2 \cdot 1}, x_{2} = \frac{- ( - 100 ) - 40 7}{2 \cdot 1}

x = \frac{- ( - 100 ) + 40 7}{2 \cdot 1} : 10 (5 + 27)

x = \frac{- ( - 100 ) - 40 7}{2 \cdot 1} : 10 (5 - 27)

The solutions to the quadratic equation are:

x = 10 (5 + 27), x = 10 (5 - 27)

x = x^{2} + 3 x

t^{2} - 4 = 12

x, 12 x^{2} - 120 x + 209 = 0

3 x^{2} - 6 x + 1 = 0

m^{2} - 6 m = 0

What are the solutions to the equation x^2-100x-300=0 ?
The solutions to the equation x^2-100x-300=0 are x=10(5+2sqrt(7)),x=10(5-2sqrt(7))
Find the zeros of x^2-100x-300=0
The zeros of x^2-100x-300=0 are x=10(5+2sqrt(7)),x=10(5-2sqrt(7))