document.write( "Question 41140This question is from textbook Algebra and Trigonometry
\n" ); document.write( ": Find (a)the directix,(b)the focus and (c)the roots of the parabola y=x^2-5x+4 \n" ); document.write( "
Algebra.Com's Answer #26562 by venugopalramana(3286)\"\" \"About 
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Find (a)the directix,(b)the focus and (c)the roots of the parabola y=x^2-5x+4
\n" ); document.write( "Y=(X^2-2*X*2.5+2.5^2)+4-2.5^2
\n" ); document.write( "Y=(X-2.5)^2-2.25
\n" ); document.write( "(Y+2.25)=(X-2.5)^2
\n" ); document.write( "COMPARING WITH STD.EQN.OF
\n" ); document.write( "4A(Y-K)=(X-H)^2,WE GET
\n" ); document.write( "VERTEX IS (H,K)....(2.5,-2.25)
\n" ); document.write( "4A=1....OR...A=0.25
\n" ); document.write( "FOCUS IS (H,K+A).....(2.5,-2.25+0.25)=(2.5,-2)
\n" ); document.write( "DIRECTRIX IS Y-K+A=0..........Y+2.25+0.25=Y+2.5=0
\n" ); document.write( "ROOTS ARE
\n" ); document.write( "X^2-5X+4=0
\n" ); document.write( "X^2-4X-X+4=0
\n" ); document.write( "X(X-4)-1(X-4)=0
\n" ); document.write( "(X-1)(X-4)=0
\n" ); document.write( "X=1...OR....4. \n" ); document.write( "
\n" );