y=3+sqrt(y^2-5)

mattgondek4

mattgondek4

Answered question

2021-06-20

y=3+y25

Answer & Explanation

Derrick

Derrick

Skilled2021-06-21Added 94 answers

y=3+y25
y3=y25
(y3)2=(y25)2
y26y+9=(y2)5
6y+9=5
6y=14
y=73
Check your solution to make sure it is not an extraneous solution:
y=3+(y2)5
73=3+((73)25)
73=3+(4995)
73=3+(49)
73=3+(23)
73=113
Since 73=113 is a false statement, then y=73 is an extraneous solution. The equation therefore has no solution.

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