SOLUTION: Please help me solve the following problem straigt from a worksheet:
The equation |x+1|=3 produces two solutions, x=2 and x=-4. For what values of a and b would the equation |x+
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Question 155498: Please help me solve the following problem straigt from a worksheet:
The equation |x+1|=3 produces two solutions, x=2 and x=-4. For what values of a and b would the equation |x+a|=b produce two solutions that are equal? Explain your reasoning.
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
So
and
Thus, the two solutions are
and
In order to have the two solutions be the same,
Only b = 0 satisfies this.
x = -a, b = 0
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