SOLUTION: ROOT:5-x = x-3 do I first set both sides squared to get rid of the root? this again says check all proposed solutions which I don't understand.

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 Click here to see ALL problems on Average Question 189149: ROOT:5-x = x-3 do I first set both sides squared to get rid of the root? this again says check all proposed solutions which I don't understand.Answer by edjones(7569)   (Show Source): You can put this solution on YOUR website!sqrt(5-x)=x-3 5-x=x^2-6x+9 square each side. x^2-5x+4=0 subtract the left side from the right. (x-4)(x-1)=0 factor x=4, x=1 These are the proposed solutions. Now you have to put them into the original equation and check to see if the solution is a true one or if it is extraneous. . sqrt(5-4)=4-3 sqrt(1)=1 true . sqrt(5-1)=1-3 2=-2 extraneous . Ed