Question

(0.785) (D squared) = 5024 solve for x?

Answer 1

Ok so move the 0.785 to the right side  D^2=0.54-0.785 D^2=68789808 Square root both sides D= +- 0.82939621

Answer 2

This equation involves no x variable, so I assume you want to solve this for D.

First of all, you can divide both sides by 0.785 to get

$0.785D^2 = 0.54 \iff \dfrac{0.785D^2}{0.785} = \dfrac{0.54}{0.785} \iff D^2 = \dfrac{0.54}{0.785} =$

Since the right hand side is positive, the equation make sense (otherwise we would be asking a square, i.e. a positive number, to equal a negative number). So, we can extract the square root from both sides:

$D^2 = \dfrac{0.54}{0.785} \iff \sqrt{D^2} = \pm\sqrt{\dfrac{0.54}{0.785}} \iff D = \pm\sqrt{\dfrac{0.54}{0.785}}$