Question

solve for u, where u is a real number. $sqrt{5u + 2}=sqrt{3u + 14}$. if there is more than one solution, separate them with commas. if there is no solution, click on
o solution\.

Explanation:

Step1: Square both sides of the equation

Square $\sqrt{5u + 2}=\sqrt{3u + 14}$ to get $5u+2 = 3u + 14$.

Step2: Isolate the variable terms

Subtract $3u$ from both sides: $5u-3u+2=3u - 3u+14$, which simplifies to $2u+2 = 14$.

Step3: Isolate the variable

Subtract 2 from both sides: $2u+2 - 2=14 - 2$, so $2u=12$.

Step4: Solve for u

Divide both sides by 2: $\frac{2u}{2}=\frac{12}{2}$, then $u = 6$.

Answer:

$6$