Question

Solve the equation √y+6

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=4 and verify the solution. State any restrictions, if they exist.

Answer 1

Hi,

Explanation:

`√(y) +6=4\\√(y) =-2 \ has \ no\ solution\ in\ \mathbb{R}\\\\I\ suppose \ that \ your\ equation\ was:\ √(y+6) =4\\y+6\geq 0\ \Longrightarrow\ y\geq -6\\\\Squaring: y+6=16 \Longrightarrow\ y=10\\\\Verification : √(10+6) =√(16) =4\\`