Question Use the square roots property to solve the quadratic equation $$ (6 u+1)^{2}=25 $$. If there are multiple answers, list them separated by a comma, e.g. 1,2 . If there is no solution, enter $$ \varnothing $$.

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UpStudy AI · Accepted Answer

Given the equation (6u + 1)² = 25, we'll start by taking the square root of both sides:

6u + 1 = 5   or   6u + 1 = -5

For the first case:
6u + 1 = 5  
6u = 5 - 1  
6u = 4  
u = 4/6  
u = 2/3

For the second case:
6u + 1 = -5  
6u = -5 - 1  
6u = -6  
u = -6/6  
u = -1

So, the solutions are 2/3, -1.
The solutions are $$ \frac{2}{3} $$ and $$ -1 $$.

Question Use the square roots property to solve the quadratic equation \( (6 u+1)^{2}=25 \). If there are multiple answers, list them separated by a comma, e.g. 1,2 . If there is no solution, enter \( \varnothing \).

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