Find the solution, please. \(\displaystyle\sqrt{{{2}+{4}{x}}}={3}-\sqrt{{{3}-{4}{x}}}\)

Jaylen Cantrell

Jaylen Cantrell

Answered question

2022-04-06

Find the solution, please. 2+4x=334x

Answer & Explanation

embemiaEffoset4rs

embemiaEffoset4rs

Beginner2022-04-07Added 14 answers

2+4x=334x
Square on tne both sides
2+4x=9+34x634x
634x=124x24x
634x=108x
Square on both sides
(634x)2=(108x)2
36(34x)=100+64x2160x
108144x=100+64x2160x
64x216x8=0
8x22x1=0
x=2±4+322×8
=2±616
x=2+616 or 2616
x=12 or x=14
Thus, the values of x arre 12,14

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