What are the solutions to the equation 3/1000 = 1/2 (0.005)(x-3-0.5)^2 ?

The solutions to the equation 3/1000 = 1/2 (0.005)(x-3-0.5)^2 are x=4.59544…,x=2.40455…

Find the zeros of 3/1000 = 1/2 (0.005)(x-3-0.5)^2

The zeros of 3/1000 = 1/2 (0.005)(x-3-0.5)^2 are x=4.59544…,x=2.40455…

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\frac{3}{1000} = \frac{1}{2} (0.005) (x - 3 - 0.5)^{2}

x = 4.59544 \dots, x = 2.40455 \dots

Solution steps

\frac{3}{1000} = \frac{1}{2} (0.005) (x - 3 - 0.5)^{2}

Switch sides

\frac{1}{2} (0.005) (x - 3 - 0.5)^{2} = \frac{3}{1000}

Simplify

\frac{1}{2} (0.005) : \frac{0.005}{2}

\frac{0.005}{2} (x - 3 - 0.5)^{2} = \frac{3}{1000}

Multiply both sides by

2

0.005 (x - 3 - 0.5)^{2} = \frac{3}{500}

Divide both sides by

0.005

(x - 3 - 0.5)^{2} = 1.2

For

(g (x))^{2} = f (a)

the solutions are

g (x) = f (a), - f (a)

Solve

x - 3 - 0.5 = 1.2 : x = 4.59544 \dots

Solve

x - 3 - 0.5 = - 1.2 : x = 2.40455 \dots

The solutions to the quadratic equation are:

x = 4.59544 \dots, x = 2.40455 \dots

6 x^{2} - 20 x + 6 = 0

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

x^{2} + 6 x + 9 = \frac{49}{4}

\frac{1}{2} x^{2} - 12 = - 37

3 x^{2} - x + 17 = 17

What are the solutions to the equation 3/1000 = 1/2 (0.005)(x-3-0.5)^2 ?
The solutions to the equation 3/1000 = 1/2 (0.005)(x-3-0.5)^2 are x=4.59544…,x=2.40455…
Find the zeros of 3/1000 = 1/2 (0.005)(x-3-0.5)^2
The zeros of 3/1000 = 1/2 (0.005)(x-3-0.5)^2 are x=4.59544…,x=2.40455…