Question

What is the value of q in equation √4q-2=√3q+8

Answer 1

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)

___

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.