Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

ALGEBRA HELP, please help with problem, and show work


ALGEBRA HELP Please Help With Problem And Show Work class=

Sagot :

diene
divide both sides by 4x:
x^2-2x+1=0
You can either factor, complete the square, or use the quadratic formula.
I'll factor this into (x-1)(x-1)=0
x-1=0, so x=1

AL2006

First of all, your second term is already wrong.  When you divided  8x²  by  4 ,
you should have written  2x² , not  4x² .

Make that correction, and then divide the whole thing by  'x'.

Then you'll have    x² - 2x + 1 = 0 .

You should have no trouble solving that one,
(especially since it's a perfect square)

That gives you two (equal) solutions.  But you should also ask yourself:
"Self !  Where is the third solution ?  A cubic equation like the original
one needs three solutions."

I'll give you that one:
Look over the original equation, and look at what happens to it when  x = 0 . 
Then the left side becomes zero, and the equation is  0 = 0 .  Since that's a
true statement, " x = 0 "  is another solution of the cubic equation, and now
you have all three of them.