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The equation 3x+4=5x-4 has the solution set {4}.
a) Explain why the equation (3x+4)+4=5x-4)+4 also has the solution set{4} IN part (a), the expression (3x=4)=4 is equivalent to the expression 3x+8. What is the definition of equivalent expression leave the solution set unchanged? When we square both sides of the original equation, we get the following new equation: (3x+4)to the power of 2 = (5x-4)to the power of 2 .
Show that 4 is still a solution to the new equation. Show that 0 is also a solution to the new equation but is not a solution to the original equation. Write a sentence that describes how the solution set to an equation may change when both sides of the equation are squared.
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