Question

Solve each of the following equations using the Extended Square Root Property.

1. 8√x+7=16
x= _____________


2. √7x+4−3=0
x= _____________


3. 8√5x−7=16
x= _____________

Answer 1

1. 81/16, 2. DNE(undefined), 3. 529/64

Explanation:

`1. \\8√(x) +7=16\\\\8√(x) =16-7-9\\√(x)=9/8\\x=(9/8)^2=81/64\\\\2.\\1. \\√(7x) +4-3=0\\\\√(7x) +1=0\\√(7x)=-1\\`

impossible because square root is always positive

`3. \\8√(5x) -7=16\\8√(5x) =16+7=23\\\\√(5x) =23/8\\\\5x=(23/8)^2=529/64`