What are the solutions to the equation 3= 5/2 (x-3-0.5)^2 ?

The solutions to the equation 3= 5/2 (x-3-0.5)^2 are x=4.59544…,x=2.40455…

Find the zeros of 3= 5/2 (x-3-0.5)^2

The zeros of 3= 5/2 (x-3-0.5)^2 are x=4.59544…,x=2.40455…

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3 = \frac{5}{2} (x - 3 - 0.5)^{2}

x = 4.59544 \dots, x = 2.40455 \dots

Solution steps

3 = \frac{5}{2} (x - 3 - 0.5)^{2}

Switch sides

\frac{5}{2} (x - 3 - 0.5)^{2} = 3

Multiply both sides by

2

5 (x - 3 - 0.5)^{2} = 6

Divide both sides by

5

(x - 3 - 0.5)^{2} = \frac{6}{5}

For

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

the solutions are

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

Solve

x - 3 - 0.5 = \frac{6}{5} : x = 4.59544 \dots

Solve

x - 3 - 0.5 = - \frac{6}{5} : x = 2.40455 \dots

The solutions to the quadratic equation are:

x = 4.59544 \dots, x = 2.40455 \dots

x, x^{2} + y^{2} = - 2

x, x^{2} + y^{2} = - 9

x^{2} + 5 x = 0

2 x^{2} + 11 x + 9 = - 3

36 x^{2} - 48 x = 0

What are the solutions to the equation 3= 5/2 (x-3-0.5)^2 ?
The solutions to the equation 3= 5/2 (x-3-0.5)^2 are x=4.59544…,x=2.40455…
Find the zeros of 3= 5/2 (x-3-0.5)^2
The zeros of 3= 5/2 (x-3-0.5)^2 are x=4.59544…,x=2.40455…