Question 119488: original problem: 5x^2-30x+40=0
Please help. I keep getting lost. Could you show me how to work this problem step by step? I already have the answer, so I'm not looking for that, just how to do it. The answer is x=2, x=4 Found 2 solutions by stanbon, Earlsdon:Answer by stanbon(57410) (Show Source):
You can put this solution on YOUR website! original problem: 5x^2-30x+40=0
Factor to get:
(x-3)^2 = 1
Take the square root of both sides to get;
x-3=1 or x-3=-1
x = 4 or x = 2
You can put this solution on YOUR website! Solve for x:
First, you can factor a 5 from this quadratic equation.
Now apply the "zero product principle": Ifthen eitheror or both.
If then either (obviously not true!) or . Ok, so...
Solve this by factoring:
...again, apply the "zero product principle"...
If then or
The solutions are, as you have stated, x = 2 or x = 4.