Question

√4t + 24 = -2t; t = 3, t = -2

Determine which solution if any is and extraneous solution justify how you know

Answer 1

Neither

Explanation:

`√(4t)+24=-2t \\ \\ √(4t)=-2t-24 \\ \\ 4t=4t^2 + 96t+576 \\ \\ 4t^2 + 92t+576=0 \\ \\ t^2 + 23t+144=0 \\ \Delta=23^2 - 4(144)<0 \implies t \\otin \mathbb{R}`

Since there are no real solutions, neither solution is extraneous.