VRAE oor vraestel 1: Los op vir x (breuke met k-metode)

$table row cell 4 x squared minus 12 x minus fraction numerator 1 over denominator x squared minus 3 x end fraction equals 3 end cell blank blank blank row cell 4 open parentheses x squared minus 3 x close parentheses minus fraction numerator 1 over denominator open parentheses x squared minus 3 x close parentheses end fraction equals 3 end cell blank blank cell faktoriseer space & space sit space als space in space hakies end cell row cell stel space x squared minus 3 x equals k end cell blank blank blank row cell 4 k minus 1 over k equals 3 end cell blank blank blank row cell K G V equals k end cell blank blank blank row cell B p k colon k not equal to 0 end cell blank blank blank row cell x squared minus 3 x not equal to 0 end cell blank blank blank row cell x open parentheses x minus 3 close parentheses not equal to 0 end cell blank blank blank row cell x not equal to 0 o f x not equal to 3 end cell blank blank blank row cell 4 k squared minus 1 equals 3 k end cell blank blank cell Maal space met space KGV end cell row cell 4 k squared minus 3 k minus 1 equals 0 end cell blank blank Herrangskik row cell open parentheses 4 k plus 1 close parentheses open parentheses k minus 1 close parentheses equals 0 end cell blank blank Faktoriseer end table table attributes rowalign top baseline end attributes row cell table row cell k equals negative 1 fourth end cell row cell x squared minus 3 x equals negative 1 fourth end cell row cell 4 x squared minus 12 x equals negative 1 end cell row cell 4 x squared minus 12 x plus 1 equals 0 end cell row cell x equals fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction end cell row cell x equals fraction numerator negative open parentheses negative 12 close parentheses plus-or-minus square root of open parentheses negative 12 close parentheses squared minus 4 open parentheses 4 close parentheses open parentheses 1 close parentheses end root over denominator 2 open parentheses 4 close parentheses end fraction end cell row cell bold italic x bold equals fraction numerator bold 3 bold plus-or-minus bold 2 square root of bold 2 over denominator bold 2 end fraction end cell end table end cell cell o f end cell cell table attributes rowalign baseline baseline baseline baseline baseline baseline end attributes row cell k equals 1 end cell row cell x squared minus 3 x equals 1 end cell row cell x squared minus 3 x minus 1 equals 0 end cell row cell x equals fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction end cell row cell x equals fraction numerator negative open parentheses negative 3 close parentheses plus-or-minus square root of open parentheses negative 3 close parentheses squared minus 4 open parentheses 1 close parentheses open parentheses negative 1 close parentheses end root over denominator 2 open parentheses 1 close parentheses end fraction end cell row cell bold italic x bold equals fraction numerator bold 3 bold plus-or-minus square root of bold 13 over denominator bold 2 end fraction end cell end table end cell end table$