Find the exact value of x so that the equation has exactly 2 solutions when solved for a.
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Originally Posted by Altovirator Find the exact value of x so that the equation has exactly 2 solutions when solved for a. You mean, I take it, 2 distinct real solutions. In that case, the equation must be of the form . for some u and v. Multiplying that out, we get . We must have 2u+v= 0, and . Solve the first two equations for u and v and then get x from the third equation.
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