What are the solutions to the equation 0=(x^2)/(400pi)-2x+400pi ?

The solutions to the equation 0=(x^2)/(400pi)-2x+400pi are x=400pi

Find the zeros of 0=(x^2)/(400pi)-2x+400pi

The zeros of 0=(x^2)/(400pi)-2x+400pi are x=400pi

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0 = \frac{x ^{2}}{400 π} - 2 x + 400 π

x = 400 π

Decimal Notation

x = 1256.63706 \dots

Solution steps

0 = \frac{x ^{2}}{400 π} - 2 x + 400 π

Multiply both sides by

400 π

0 = x^{2} - 800 π x + 160000 π^{2}

Switch sides

x^{2} - 800 π x + 160000 π^{2} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 800 π ) \pm ( - 800 π ) ^{2} - 4 \cdot 1 \cdot 160000 π ^{2}}{2 \cdot 1}

(- 800 π)^{2} - 4 \cdot 1 \cdot 160000 π^{2} = 0

x_{1, 2} = \frac{- ( - 800 π ) \pm 0}{2 \cdot 1}

x = \frac{- ( - 800 π )}{2 \cdot 1}

\frac{- ( - 800 π )}{2 \cdot 1} = 400 π

x = 400 π

The solution to the quadratic equation is:

x = 400 π

3 x^{2} - 60 = 24 x

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

x (x + 3) = 5 x + 15

(x + 3)^{2} + (x - 2) = 7

x^{2} + 8 x - 76 = 0

What are the solutions to the equation 0=(x^2)/(400pi)-2x+400pi ?
The solutions to the equation 0=(x^2)/(400pi)-2x+400pi are x=400pi
Find the zeros of 0=(x^2)/(400pi)-2x+400pi
The zeros of 0=(x^2)/(400pi)-2x+400pi are x=400pi