SOLUTION: I really do not understand any of this stuff...can I get some help please? #80: find all real and imaginary solutions to each equation w^2= -225 #96: sqrt 7x + 29 = x

Algebra ->  Radicals -> SOLUTION: I really do not understand any of this stuff...can I get some help please? #80: find all real and imaginary solutions to each equation w^2= -225 #96: sqrt 7x + 29 = x      Log On


   



Question 211320This question is from textbook Elementary and Intermediate Algebra, 3e
: I really do not understand any of this stuff...can I get some help please?
#80: find all real and imaginary solutions to each equation
w^2= -225
#96: sqrt 7x + 29 = x + 3
This question is from textbook Elementary and Intermediate Algebra, 3e

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
#80) w^2 =-225
.
w = +/- sqrt (-225)
w=+/- sqrt(225)(-1)
w= +/- 15 i,,,,,,where i=sqrt(-1)
.
#96),,,,sqrt(7x+29) = x+3,,,,,,,square both sides
.
(7x+29) = x^2 +6x +9
.
0= x^2 -x -20
.
0=(x-5)(x+4)
.
x=5,,,-4
.
check,,,(5),,,sqrt(35+29)=sqrt(64) = 8 = 5+3,,,,,ok
.
(-4),,,,sqrt (-28 +29) = sqrt(1) =+/- 1 = -4 + 3= -1,,,,,ok