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Solve √(x+3) = √(5x+6) -3.

User Kostmo
by
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1 Answer

6 votes

Answer:
x=6,-0.75

Explanation:

Given


√(x+3)=√(5x+6)-3


√(x+3)+3=√(5x+6)

Squaring both sides


x+3+9+6* √(x+3)=5x+6


x+12+6* √(x+3)=5x+6


6* √(x+3)=4x-6


3* √(x+3)=2x-3


4x^2-21x-18=0


x=(21\pm √(21^2)+4* 18* 4)/(2* 4)


x=6,-0.75

User Martijn Rutten
by
5.6k points