Question

Please help me answer this ​

Answer 1

q = (4r²-p)/5

Explanation:

To solve for q, undo what has been done to it. The variable q has been multiplied by 5, added to p, the square root taken, and that divided by 2. We undo these operations in reverse order.

`(√(p+5q))/(2)=r\qquad\text{given}\\\\√(p+5q)=2r\qquad\text{multiply by 2}\\\\p+5q=4r^2\qquad\text{square}\\\\5q=4r^2-p\qquad\text{subtract p}\\\\\boxed{q=(4r^2-p)/(5)}\qquad\text{divide by 5}`