SOLUTION: y=-(x^2)+4x-1

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Question 541006: y=-(x^2)+4x-1
Answer by jpg7n16(66)   (Show Source): You can put this solution on YOUR website!
Step 1: Factor out -1 to make the X side look normal

Step 2: Factor the quadratic - which you can't do as is. You need to adjust it and make it workable. Although isn't factorable, is. So both add and subtract 4 from the right hand side, but don't reduce. Simultaneously adding and subtracting 4 is a net change of zero, so the equation will still balance.

Step 3: Factor the quadratic, and reduce.

So becomes


Step 4: Set y=0 and solve for x




and

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