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


Solve The Radical Equation Be Sure To Check All Solutions To Eliminate Extraneous Solutions Sqrtt197 class=

Sagot :

Answer: [tex]\large\boxed{\text{No Solution}}[/tex]

Step-by-step explanation:

Given equation

[tex]\sqrt{t+1}+9=7[/tex]

Subtract 9 on both sides

[tex]\sqrt{t+1}+9-9=7-9[/tex]

[tex]\sqrt{t+1}=-2[/tex]

Conclusion

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

[tex]\text{Therefore, it is }{\large\boxed{\text{No Solution}}}\text{ in the context of real numbers}[/tex]

Hope this helps!! :)

Please let me know if you have any questions