Given f(x)=x²+3x-5 and g(x)=2x-3, how do you determine x when f(x)=g(x)?

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Answer 1 · 2017-02-04T07:50:51

The solutions are #S={-1,2}#

#f(x)=x^2+3x-5#

#g(x)=2x-3#

#f(x)=g(x)#

#x^2+3x-5=2x-3#

#x^2-x-2=0#

We can solve this quadratic equation by factorization

#(x+1)(x-2)=0#

#x-1=0#, #=>#, #x=-1#

#x-2=0#, #=>#, #x=2#