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angelwings996
Group Title
What is the solution of the equation?
(x  2)^3/4 = 8
 one year ago
 one year ago
angelwings996 Group Title
What is the solution of the equation? (x  2)^3/4 = 8
 one year ago
 one year ago

This Question is Closed

abb0t Group TitleBest ResponseYou've already chosen the best response.0
multiply by 4 and cube everything. then add 2 to solve for x.
 one year ago

angelwings996 Group TitleBest ResponseYou've already chosen the best response.0
\[(x  2)^{3/4} = 8 \] is the equation
 one year ago

abb0t Group TitleBest ResponseYou've already chosen the best response.0
That's the same thing as: \[\sqrt[4]{a^3}\]
 one year ago

angelwings996 Group TitleBest ResponseYou've already chosen the best response.0
@abb0t will there only be one solution?
 one year ago

mominanisar Group TitleBest ResponseYou've already chosen the best response.1
((x  2)^1/4)^3 = 8 =2^3 it powers are same then you can compare the bases i.e (x  2)^1/4 = 2 then multiply the both sides with ^4 then you will get x2=16 x=18
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.1
This one won't have multiple solutions.
 one year ago

Saikam Group TitleBest ResponseYou've already chosen the best response.2
its like (x2)^3 = 8^4 giving you x = 18. And only 1 root
 one year ago

angelwings996 Group TitleBest ResponseYou've already chosen the best response.0
@mominanisar Thanks!
 one year ago

angelwings996 Group TitleBest ResponseYou've already chosen the best response.0
Could any of you help me with one more please?
 one year ago

mominanisar Group TitleBest ResponseYou've already chosen the best response.1
no problem
 one year ago

angelwings996 Group TitleBest ResponseYou've already chosen the best response.0
You live near a bridge that goes over a river. The underside of the bridge is an arch that can be modeled with the function y = 0.000471x^2 + .837x where x and y are measured in feet. How high above the river is the bridge (the top of the arch)? Hw long is the section of bridge above the arch?
 one year ago

angelwings996 Group TitleBest ResponseYou've already chosen the best response.0
@mominanisar @Saikam could either of you help me please?
 one year ago

angelwings996 Group TitleBest ResponseYou've already chosen the best response.0
It is multiple choice so I can list them
 one year ago

mominanisar Group TitleBest ResponseYou've already chosen the best response.1
yes i will if i am able to
 one year ago

angelwings996 Group TitleBest ResponseYou've already chosen the best response.0
Okay, ill give you the choices
 one year ago

Saikam Group TitleBest ResponseYou've already chosen the best response.2
actaully, the length of the section of bridge and its height above the river are dependant on each other. one cannot be determined without the other
 one year ago

angelwings996 Group TitleBest ResponseYou've already chosen the best response.0
a. The bridge is about 1,777.07 ft. above the river, and the length of the bridge above the arch is about 888.54 ft. b. The bridge is about 371.85 ft. above the river, and the length of the bridge above the arch is about 1,777.07 ft. c. The bridge is about 371.85 ft. above the river, and the length of the bridge above the arch is about 888.54 ft. d. The bridge is about 1,777.07 ft. above the river, and the length of the bridge above the arch is about 371.85 ft.
 one year ago

angelwings996 Group TitleBest ResponseYou've already chosen the best response.0
@Saikam That's what everyone is saying, so Im not able to find the answer anywhere. Im not even sure how you would figure this out
 one year ago

mominanisar Group TitleBest ResponseYou've already chosen the best response.1
i agree with @Saikam
 one year ago

angelwings996 Group TitleBest ResponseYou've already chosen the best response.0
Then would I have to take an educated guess on this?
 one year ago

Saikam Group TitleBest ResponseYou've already chosen the best response.2
no. we must consider each option and verify. take the length of bridge given in the first option, then check if it satisfies the given height. Then take the values from second option, and so on... one (or more) of them might satisfy. can u try? or u want me to help?
 one year ago

angelwings996 Group TitleBest ResponseYou've already chosen the best response.0
Could you help me please?
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
dw:1358145028404:dw
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
dw:1358145052483:dw
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
height of bridge above water = y coordinate of vertex length of the bridge above the arch = distance between the two roots
 one year ago

Saikam Group TitleBest ResponseYou've already chosen the best response.2
No @jim_thompson5910 because the question doesnt say that the xaxis is the level of the river. it could be anything. like y=1, y=1 , etc.that is why the verification needed
 one year ago

angelwings996 Group TitleBest ResponseYou've already chosen the best response.0
If you guys can't figure it out its okay(:
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
well it's implicit, they should state it more clearly though
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
y = height above the ground
 one year ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
or river, i meant
 one year ago

angelwings996 Group TitleBest ResponseYou've already chosen the best response.0
I agree...Ít's hard to do the math to something when you don't quite understand the question
 one year ago

Saikam Group TitleBest ResponseYou've already chosen the best response.2
dy/dx = 0 gives you the xxoordinate, where the arch has its vertex 0 = 0.000942 x + 0.837 2x = 0.837/0.000471 This could be equated to length of the river 2x = 1000*(837/471) = 1777.07 ft for which the only option matching is b :P
 one year ago

angelwings996 Group TitleBest ResponseYou've already chosen the best response.0
So b?
 one year ago

Saikam Group TitleBest ResponseYou've already chosen the best response.2
you should substitute this value of x (x, and not 2x )in the equation and check for y . If its equal to 371.85, then yea, B. I just woke up. feeling lazy to do the calculations.
 one year ago

angelwings996 Group TitleBest ResponseYou've already chosen the best response.0
Lol its fine. I appreciate both of your helps! Thank you (:
 one year ago
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