What are the solutions to the equation x^2-250x+10000=0 ?

The solutions to the equation x^2-250x+10000=0 are x=200,x=50

Find the zeros of x^2-250x+10000=0

The zeros of x^2-250x+10000=0 are x=200,x=50

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x^{2} - 250 x + 10000 = 0

x = 200, x = 50

Solution steps

x^{2} - 250 x + 10000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 250 ) \pm ( - 250 ) ^{2} - 4 \cdot 1 \cdot 10000}{2 \cdot 1}

(- 250)^{2} - 4 \cdot 1 \cdot 10000 = 150

x_{1, 2} = \frac{- ( - 250 ) \pm 150}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 250 ) + 150}{2 \cdot 1}, x_{2} = \frac{- ( - 250 ) - 150}{2 \cdot 1}

x = \frac{- ( - 250 ) + 150}{2 \cdot 1} : 200

x = \frac{- ( - 250 ) - 150}{2 \cdot 1} : 50

The solutions to the quadratic equation are:

x = 200, x = 50

5 x^{2} - 4 x - 11 = 3 x^{2}

5 x^{2} + 1 = 21

x^{2} - 8 x + 32 = 0

(5 - 1) x^{2} - 2 x - (5 + 1) = 0

x, h^{- 1} (x) = \frac{1}{2} x^{2}

What are the solutions to the equation x^2-250x+10000=0 ?
The solutions to the equation x^2-250x+10000=0 are x=200,x=50
Find the zeros of x^2-250x+10000=0
The zeros of x^2-250x+10000=0 are x=200,x=50