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10 cards from this deck
Equations involving an algebraic root
Isolate the surd
Square both sides
Check your answers by substituting back
Squaring can create extraneous solutions; not checking loses marks
3x+7=1+x\sqrt{3x+7}=1+x3x+7=1+x
No, gives 3≠13 \neq 13=1
Yes, gives 1=11=11=1
x=3x=3x=3 only
Clearly indicate which doesn't satisfy the equation
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