What are the solutions to the equation -0.5=-0.001x^2+0.06x+37.1 ?

The solutions to the equation -0.5=-0.001x^2+0.06x+37.1 are x=-10(sqrt(385)-3),x=10(3+sqrt(385))

Find the zeros of -0.5=-0.001x^2+0.06x+37.1

The zeros of -0.5=-0.001x^2+0.06x+37.1 are x=-10(sqrt(385)-3),x=10(3+sqrt(385))

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- 0.5 = - 0.001 x^{2} + 0.06 x + 37.1

x = - 10 (385 - 3), x = 10 (3 + 385)

Decimal Notation

x = - 166.21416 \dots, x = 226.21416 \dots

Solution steps

- 0.5 = - 0.001 x^{2} + 0.06 x + 37.1

Multiply both sides by

1000

- 500 = - x^{2} + 60 x + 37100

Switch sides

- x^{2} + 60 x + 37100 = - 500

Move

500

to the left side

- x^{2} + 60 x + 37600 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 60 \pm 6 0 ^{2} - 4 ( - 1 ) \cdot 37600}{2 ( - 1 )}

6 0^{2} - 4 (- 1) \cdot 37600 = 20385

x_{1, 2} = \frac{- 60 \pm 20 385}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 60 + 20 385}{2 ( - 1 )}, x_{2} = \frac{- 60 - 20 385}{2 ( - 1 )}

x = \frac{- 60 + 20 385}{2 ( - 1 )} : - 10 (385 - 3)

x = \frac{- 60 - 20 385}{2 ( - 1 )} : 10 (3 + 385)

The solutions to the quadratic equation are:

x = - 10 (385 - 3), x = 10 (3 + 385)

- 30 + 13 x + 3 x^{2} = 0

x^{2} + x^{2} + 9 x = 56

x^{2} + 11 x - 9 = 0

R^{2} = (4)^{2} + (3)^{2}

5 x^{2} = 10 x - 4

What are the solutions to the equation -0.5=-0.001x^2+0.06x+37.1 ?
The solutions to the equation -0.5=-0.001x^2+0.06x+37.1 are x=-10(sqrt(385)-3),x=10(3+sqrt(385))
Find the zeros of -0.5=-0.001x^2+0.06x+37.1
The zeros of -0.5=-0.001x^2+0.06x+37.1 are x=-10(sqrt(385)-3),x=10(3+sqrt(385))