document.write( "Question 409320: Hi, I am solving quadratic equation by formula -b sqrt (b^2-4ac)/2(a)\r
\n" ); document.write( "\n" ); document.write( "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?
\n" ); document.write( "Thanks\r
\n" ); document.write( "\n" ); document.write( "4y(y+1)=1
\n" ); document.write( "4y^2+4y=1
\n" ); document.write( "4y^2+4y-1=1-1
\n" ); document.write( "4y^2+4y-1=0
\n" ); document.write( "-4 +- sqrt ((4)^2-4(4)(-1)/((2(4))
\n" ); document.write( "-4 +- sqrt (16-(-16))/(8)
\n" ); document.write( "-4 +- sqrt (32)/(8) What do I do now? \n" ); document.write( "
Algebra.Com's Answer #288248 by jsmallt9(3758)\"\" \"About 
You can put this solution on YOUR website!
You are perfect up to:
\n" ); document.write( "\"y+=+%28-4+%2B-+sqrt+%2832%29%29%2F8\"
\n" ); document.write( "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:
\n" ); document.write( "\"y+=+%28-4+%2B-+sqrt+%2816%2A2%29%29%2F8\"
\n" ); document.write( "Now we can use a property of radicals, \"root%28a%2C+p%2Aq%29+=+root%28a%2C+p%29%2Aroot%28a%2C+q%29\", to split the square root into the product of the square roots of the factors:
\n" ); document.write( "\"y+=+%28-4+%2B-+sqrt+%2816%29%2Asqrt%282%29%29%2F8\"
\n" ); document.write( "The square root of the perfect square simplifies:
\n" ); document.write( "\"y+=+%28-4+%2B-+4%2Asqrt%282%29%29%2F8\"
\n" ); document.write( "Now we can reduce the fraction. Reducing fractions involves canceling common factors. So we need to factor the numerator and denominator:
\n" ); document.write( "\"y+=+%284%28-1+%2B-+sqrt%282%29%29%29%2F%284%2A2%29\"
\n" ); document.write( "as you can see, there is a common factor we can cancel:
\n" ); document.write( "\"y+=+%28cross%284%29%28-1+%2B-+sqrt%282%29%29%29%2F%28cross%284%29%2A2%29\"
\n" ); document.write( "leaving:
\n" ); document.write( "\"y+=+%28-1+%2B-+sqrt%282%29%29%2F2\"
\n" ); document.write( "This is as far as we can go with the \"+-\". We can write this in \"long form\":
\n" ); document.write( "\"y+=+%28-1+%2B+sqrt%282%29%29%2F2\" or \"y+=+%28-1+-+sqrt%282%29%29%2F2\" \n" ); document.write( "
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