I get x=9.25 or x= 4.71 for number 4 - can someone check this

Ah, but the beauty of these questions is that you can check them yourself! Simply plug one of your values for x into the equation, and see if it works.

So if you wanted to check your solution of x = 9.25, you'd just see if:

was true or not. Unfortunately, I don't think your answer was correct - I get:

]]>for 4)

multiply by x]]>

If ax² + bx + c = 0, then x = (-b ± √(b² - 4ac))/(2a).

(*Look at the post below for a clearer version of this. My LaTeX is terrible.*)

So in your first question, a = 1, b = -6 and c = 3, so x = (6 ±√(6² - 4*1*3))/2*1

This works out to be 3 ± √6.

Your other three questions can be worked out in exactly the same way. Number 4 needs a bit of rearranging first though.

]]>1. x^2 - 6x + 3 = 0

2. x^2 + 5x + 1 = 0

3. 2x^2 - 50 = 0

4. x = 3/x + 7

]]>