Question

What is the value of q in equation √4q-2=√3q+8?
a. -10/7
b. 10/7
c. 6
d. 10

Answer 1

To solve the equation \(\sqrt{4q - 2} = \sqrt{3q + 8}\), square both sides to eliminate the square roots:

\[ 4q - 2 = 3q + 8 \]

Now, isolate \( q \):

\[ 4q - 3q = 8 + 2 \]

\[ q = 10 \]

So, the value of \( q \) is 10, which corresponds to option:

d. 10