document.write( "Question 52431This question is from textbook College Algebra
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document.write( ": Using the quadratic equation x2 - 4x - 5 = 0, perform the following tasks:
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document.write( "a) Solve by factoring.
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document.write( "b) Solve by completing the square.
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document.write( "c) Solve by using the quadratic formula.
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Algebra.Com's Answer #34977 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! x^2-4x-5=0 \n" ); document.write( "Factoring: Two numbers that multiply together to give you -5 but add together to give you -4 are -5 and +1. \n" ); document.write( "(x-5)(x+1)=0 \n" ); document.write( "x-5=0 \n" ); document.write( "x-5+5=0+5 \n" ); document.write( "x=5 \n" ); document.write( "x+1=0 \n" ); document.write( "x+1-1=0-1 \n" ); document.write( "x=-1 \n" ); document.write( "x=-1 and x=5 \n" ); document.write( "_________________________________ \n" ); document.write( "Complteting the square: \n" ); document.write( "x^2-4x-5=0 \n" ); document.write( "x^2-4x-5+5=0+5 \n" ); document.write( "x^2-4x=5 \n" ); document.write( "x^2-4x+(-4/2)^2=5+(-4/2)^2 \n" ); document.write( "x^2-4x+(-2)^2=5+(-2)^2 \n" ); document.write( "x^2-4x+4=5+4 \n" ); document.write( "(x-2)^2=9 \n" ); document.write( "sqrt((x-2)^2)=(+or-)sqrt(9) \n" ); document.write( "x-2=(+or-)3 \n" ); document.write( "x-2+2=+2(+or-)3 \n" ); document.write( "x=2(+or-)3 \n" ); document.write( "x=2-3=-1 \n" ); document.write( "x=2+3=5 \n" ); document.write( "x=-1 and x=5 \n" ); document.write( "---------------------------------------- \n" ); document.write( "x^2-4x-5=0 \n" ); document.write( "a=1;b=-4;c=-5 \n" ); document.write( " \n" ); document.write( "x=(-(-4)+or-sqrt((-4)^2-4*(1)*(-5))/(2*1) \n" ); document.write( "x=(4+or-sqrt(16+20))/2 \n" ); document.write( "x=(4+or-sqrt(36))/2 \n" ); document.write( "x=(4+or-6)/2 \n" ); document.write( "x=(4-6)/2 \n" ); document.write( "x=(-2)/2 \n" ); document.write( "x=-1 \n" ); document.write( "x=(4+6)/2 \n" ); document.write( "x=10/2 \n" ); document.write( "x=5 \n" ); document.write( "x=-1 and x=5 \n" ); document.write( " |