SOLUTION: please help with the equation {{{4-4y-y^2=0}}} I know you have to rewrite it to get the proper form...but then the negative is in the front, so what would I do next?

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Question 40549: please help
with the equation I know you have to rewrite it to get the proper form...but then the negative is in the front, so what would I do next?

Found 2 solutions by stanbon, abcdefg:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
4-4y-y^2=0
Multiply through be -1 or get the same result by transposing
the left to the right side of the equal sign. In either case
you get:
y^2+4y-4=0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=32 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.82842712474619, -4.82842712474619. Here's your graph:

Hope this helps.
Cheers,
Stan H.

Answer by abcdefg(37)   (Show Source): You can put this solution on YOUR website!
4-4y-y^2=0
change to
-y-4y-4=0
(-y+2)(y-2)=0
-----------
solve for y
(-y+2)=0
(-y+2-2)=0-2
(-y)=-2
divide by -1
y=2
-----------
(y-2)=0
(y-2+2)=0+2
y=2
so the answer is y=2

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