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
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.
I would rather look at a frequency table because the exact numbers would be shown and it could tell you by how much and how frequently they’re increasing . A bar graph could do the same , but sometimes they could be grouped so it wouldn’t tell you the exact number .