SOLUTION: Can someone please please help me with these questions. I am preparing for a quiz on Monday. 1) z sqrt 80zu^2 - u sqrt 5z^3 2) sqrt z +16 = sqrt 7z+12 3) sqrt -6w+16=w

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Question 228591: Can someone please please help me with these questions. I am preparing for a quiz on Monday.
1) z sqrt 80zu^2 - u sqrt 5z^3
2) sqrt z +16 = sqrt 7z+12
3) sqrt -6w+16=w
4) sqrt 10+8 / -5 sqrt 10+1
Thank you in advance

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
1)
Factor to reveal the perfect squares

extract the squares and combine like terms
=
;
;
2)
Square both sides:
z + 16 = 7z + 12
16 - 12 = 7z - z
4 = 6z
z = =
;
;
3)
square both sides
-6w + 16 = w^2
0 = w^2 + 6w - 16
Factors to:
(w+8)(w-2) = 0
Two solutions
w = -8
w = +2;
Check both solutions in the original equation (only one is valid)
:
:
4) = = =

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