Ifx^- x - 6 and x² + 3x – 18 have a common factor (x – a) then find the value of a
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since x-a is the common factor therefore x=a is the common zero of both the equations.. therefore x=a will satisfy both the equation...
a^2-a-6=0 and a^2+3a-18=0
a^2-3a+2a-6=0 and a^2+6a-3a-18=0
(a-3)(a+2)=0 and (a+6)(a-3)=0
a=3 or a= -2 and a= -6 or a=3
therefore a is the common root this means value of a is 3
hope this helps u..
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