Answer:
q = 10
Step-by-step explanation:
As your equation is written, the radical sign only appies to 4 or 3, so you have ...
(√4)q -2 = (√3)q +8
(2 -√3)q = 10 . . . . . . . . . . . . . . . add 2-(√3)q
q = 10/(2 -√3) ≈ 37.3205... . . . . (an irrational number)
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We suspect you intend
√(4q -2) = √(3q +8) . . . . . . . parentheses are required for grouping
Square both sides, then add 2-3q.
4q -2 = 3q +8
q = 10
The value of q in the equation √(4q-2) = √(3q+8) is 10.
