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To find the positive solution for x in the equation x^2 - 4x - 21 = 0, we need to first factor the equation or use the quadratic formula.
Factoring the equation:
x^2 - 4x - 21 = 0
(x - 7)(x + 3) = 0
Setting each factor to zero:
x - 7 = 0 or x + 3 = 0
x = 7 or x = -3
Since we are looking for the positive solution, the positive solution for x is 7.