Question

What is the value of q?

Answer 1

Hey there!

`√(4q-2) = √(3q+8)`

Square each side to get rid of the radical sign.

`√(4q-2)^2= √(3q+8)^2`

Now we have:

4q-2= 3q+8

Add 2 on both sides.

4q= 3q+10

Subtract 3q on each side.

q=10

10 is your answer.

I hope this helps!

~kaikers

Answer 2

`Given : √(4q - 2) = √(3q + 8)`

Squaring on both sides we get :

⇒ 4q - 2 = 3q + 8

rearranging like terms

⇒ 4q - 3q = 8 + 2

⇒ q = 8 + 2

⇒ q = 10