The solution set for the equation #x^2-5x=6# is? 1. {1,-6} 2. {2,-3} 3. {-1,6} 4. {-2,3}

Question

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Answer 1 · 2018-05-19T00:58:09

#3. {-1,6}#

Solve:

#x^2-5x=6#

Move all terms to the left.

#x^2-5x-6=0#

Factor #x^2-5x-6#.

Find two numbers that when added equal #-5# and when multiplied equal #-6#. The numbers #-6# and #1# meet the requirements.

#(x-6)(x+1)=0#

Solutions

#x-6=0#

#x=6#

#x+1=0#

#x=-1#

#color(blue)(x=-1,6#