Question

Solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.

\sqrt(t+1)+9=7

Answer 1

Answer:
`\large\boxed{\text{No Solution}}`

Explanation:

Given equation

`√(t+1)+9=7`

Subtract 9 on both sides

`√(t+1)+9-9=7-9`

`√(t+1)=-2`

Conclusion

`\text{Since radical values are always positive, it is false that }√(t+1)\text{ will equal to -2}`

`\text{Therefore, it is }{\large\boxed{\text{No Solution}}}\text{ in the context of real numbers}`

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