Question

Solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.
\sqrt(t+1)+9=7

Answer 1

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

Step-by-step explanation:

Given equation

$\sqrt{t+1}+9=7$

Subtract 9 on both sides

$\sqrt{t+1}+9-9=7-9$

$\sqrt{t+1}=-2$

Conclusion

$\text{Since radical values are always positive, it is false that }\sqrt{t+1}\text{ will equal to -2}$

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

Hope this helps!! :)

Please let me know if you have any questions