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Mathematics
Paxton Hardy
23 March, 23:14
Solve the radical equation q-6=√27-2q
+3
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Shaniya Leon
24 March, 02:55
0
q - 6 = sqrt (27 - 2q)
Squaring both sides:-
(q - 6) ^2 = 27 - 2q
q^2 - 12q + 36 = 27 - 2q
q^2 - 10q + 9 = 0
(q - 9) (q - 1) = 0
so there are 2 solutions q = 1 and q = 9.
Testing to see if the solutions are not extraneous:-
q = 9:-
9 - 6 = 3
sqrt (27-18) = 3 So q = 9 is a solution (answer)
q = 1
q - 6 = - 5
sqrt (27 - 2) = sqrt 25 = - 5 so q = 1 is also an answer
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