What are the solutions to the equation x^2-200x-7500=0 ?

The solutions to the equation x^2-200x-7500=0 are x=50(2+sqrt(7)),x=50(2-sqrt(7))

Find the zeros of x^2-200x-7500=0

The zeros of x^2-200x-7500=0 are x=50(2+sqrt(7)),x=50(2-sqrt(7))

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x^{2} - 200 x - 7500 = 0

x = 50 (2 + 7), x = 50 (2 - 7)

Decimal Notation

x = 232.28756 \dots, x = - 32.28756 \dots

Solution steps

x^{2} - 200 x - 7500 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 200 ) \pm ( - 200 ) ^{2} - 4 \cdot 1 \cdot ( - 7500 )}{2 \cdot 1}

(- 200)^{2} - 4 \cdot 1 \cdot (- 7500) = 1007

x_{1, 2} = \frac{- ( - 200 ) \pm 100 7}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 200 ) + 100 7}{2 \cdot 1}, x_{2} = \frac{- ( - 200 ) - 100 7}{2 \cdot 1}

x = \frac{- ( - 200 ) + 100 7}{2 \cdot 1} : 50 (2 + 7)

x = \frac{- ( - 200 ) - 100 7}{2 \cdot 1} : 50 (2 - 7)

The solutions to the quadratic equation are:

x = 50 (2 + 7), x = 50 (2 - 7)

x^{2} - 10 x + 25 = 0

x^{2} - 12 x = 5

9 x^{2} - 42 x + 53 = 0

h^{2} - 60 h + 100 = 0

5 (x - 5)^{2} - 33 = - 28

What are the solutions to the equation x^2-200x-7500=0 ?
The solutions to the equation x^2-200x-7500=0 are x=50(2+sqrt(7)),x=50(2-sqrt(7))
Find the zeros of x^2-200x-7500=0
The zeros of x^2-200x-7500=0 are x=50(2+sqrt(7)),x=50(2-sqrt(7))