What are the solutions to the equation -0.1x^2+90x-20000=0 ?

The solutions to the equation -0.1x^2+90x-20000=0 are x=400,x=500

Find the zeros of -0.1x^2+90x-20000=0

The zeros of -0.1x^2+90x-20000=0 are x=400,x=500

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- 0.1 x^{2} + 90 x - 20000 = 0

x = 400, x = 500

Solution steps

- 0.1 x^{2} + 90 x - 20000 = 0

Multiply both sides by

10

- x^{2} + 900 x - 200000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 900 \pm 90 0 ^{2} - 4 ( - 1 ) ( - 200000 )}{2 ( - 1 )}

90 0^{2} - 4 (- 1) (- 200000) = 100

x_{1, 2} = \frac{- 900 \pm 100}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 900 + 100}{2 ( - 1 )}, x_{2} = \frac{- 900 - 100}{2 ( - 1 )}

x = \frac{- 900 + 100}{2 ( - 1 )} : 400

x = \frac{- 900 - 100}{2 ( - 1 )} : 500

The solutions to the quadratic equation are:

x = 400, x = 500

\frac{( \frac{3}{2} ) ^{- 2}}{( \frac{2}{3} ) ^{- 3}}

4 x^{2} + 4 x - 1 = 0

9 x^{2} + 6 x + 3

e^{0.06}

x^{2} + 5 x + 14 = 0

What are the solutions to the equation -0.1x^2+90x-20000=0 ?
The solutions to the equation -0.1x^2+90x-20000=0 are x=400,x=500
Find the zeros of -0.1x^2+90x-20000=0
The zeros of -0.1x^2+90x-20000=0 are x=400,x=500