SOLUTION: Hi, I am solving quadratic equation by formula -b sqrt (b^2-4ac)/2(a) I solved down to the bottom and am not sure what to do, would you show me the next step? I think its is re

Question 409320: Hi, I am solving quadratic equation by formula -b sqrt (b^2-4ac)/2(a)
I solved down to the bottom and am not sure what to do, would you show me the next step? I think its is reducing. How to do that?
Thanks
4y(y+1)=1
4y^2+4y=1
4y^2+4y-1=1-1
4y^2+4y-1=0
-4 +- sqrt ((4)^2-4(4)(-1)/((2(4))
-4 +- sqrt (16-(-16))/(8)
-4 +- sqrt (32)/(8) What do I do now?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
You are perfect up to:

Next we simplify the square root. Square roots of perfect squares are fairly simple to simplify. 32 is not a perfect square so it is not as easy to simplify this square root. But 32 does have a perfect square factor:

Now we can use a property of radicals, , to split the square root into the product of the square roots of the factors:

The square root of the perfect square simplifies:

Now we can reduce the fraction. Reducing fractions involves canceling common factors. So we need to factor the numerator and denominator:

as you can see, there is a common factor we can cancel:

leaving:

This is as far as we can go with the "+-". We can write this in "long form":
or
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