Question

Solve by extracting roots.
Assume both a and b are positive
(ax+b)2=81

Answer 1

start with taking the square root of both sides

then subtract b

then divide both sides by a

it will look a little like the general quadratic formula.

Answer 2

ok ill try

Answer 3

i didnt gwt the answer @campbell_st

Answer 4

\[(ax+b)^2=81\]take square root of both sides

\[ax+b=\pm 9\]
Now try to finish by subtracting b from both sides, then dividing by a.

Answer 5

\[(ax+b)^{2}=81\]\[ax+b=\pm9\] Case 1 \[ax+b=9 => ax=9-b\]\[x=\frac{ 9-b }{ a }\] Case 2 \[ax+b=-9 => ax=-9-b\] \[\frac{ -9-b }{ a}\]