What are the solutions to the equation 200=0.1x^2+2.155x+19.985 ?

The solutions to the equation 200=0.1x^2+2.155x+19.985 are x=33,x=-1091/20

Find the zeros of 200=0.1x^2+2.155x+19.985

The zeros of 200=0.1x^2+2.155x+19.985 are x=33,x=-1091/20

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200 = 0.1 x^{2} + 2.155 x + 19.985

x = 33, x = - \frac{1091}{20}

Decimal Notation

x = 33, x = - 54.55

Solution steps

200 = 0.1 x^{2} + 2.155 x + 19.985

Multiply both sides by

1000

200000 = 100 x^{2} + 2155 x + 19985

Switch sides

100 x^{2} + 2155 x + 19985 = 200000

Move

200000

to the left side

100 x^{2} + 2155 x - 180015 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 2155 \pm 215 5 ^{2} - 4 \cdot 100 ( - 180015 )}{2 \cdot 100}

215 5^{2} - 4 \cdot 100 (- 180015) = 8755

x_{1, 2} = \frac{- 2155 \pm 8755}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- 2155 + 8755}{2 \cdot 100}, x_{2} = \frac{- 2155 - 8755}{2 \cdot 100}

x = \frac{- 2155 + 8755}{2 \cdot 100} : 33

x = \frac{- 2155 - 8755}{2 \cdot 100} : - \frac{1091}{20}

The solutions to the quadratic equation are:

x = 33, x = - \frac{1091}{20}

9 k^{2} + 21 = 25

(k - 1) x^{2} + (k + 4) x + 25 = 0, k \neq = 1

x, f = x^{2}

5 x^{2} - 26 x - 24 = 0

0 = x^{2} + x + 4

What are the solutions to the equation 200=0.1x^2+2.155x+19.985 ?
The solutions to the equation 200=0.1x^2+2.155x+19.985 are x=33,x=-1091/20
Find the zeros of 200=0.1x^2+2.155x+19.985
The zeros of 200=0.1x^2+2.155x+19.985 are x=33,x=-1091/20