Math  /  Algebra

QuestionSolve for vv, where vv is a real number. v=5v+24v=\sqrt{5 v+24}
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". v=v= \square No solution
\square

Studdy Solution
Verify the solutions by substituting them back into the original equation:
For v=8 v = 8 :
8=5(8)+24 8 = \sqrt{5(8) + 24} 8=40+24 8 = \sqrt{40 + 24} 8=64 8 = \sqrt{64} 8=8 8 = 8 (True)
For v=3 v = -3 :
3=5(3)+24 -3 = \sqrt{5(-3) + 24} 3=15+24 -3 = \sqrt{-15 + 24} 3=9 -3 = \sqrt{9} 3=3 -3 = 3 (False)
The only valid solution is v=8 v = 8 .
The value of v v is:
8 \boxed{8}

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