SOLUTION: can someone please help me with i have tried it but i dont seem to be able to come up with an answer. thanks! solve the equation and check your solutions: sqaure root of 4x^2+5 =

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: can someone please help me with i have tried it but i dont seem to be able to come up with an answer. thanks! solve the equation and check your solutions: sqaure root of 4x^2+5 =      Log On

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Question 44135: can someone please help me with i have tried it but i dont seem to be able to come up with an answer. thanks! solve the equation and check your solutions: sqaure root of 4x^2+5 = 3x
Found 3 solutions by adamchapman, venugopalramana, fractalier:
Answer by adamchapman(301) About Me  (Show Source):
You can put this solution on YOUR website!
Rearrange so you have zero on the right hand side:
4x%5E2%2B5+=+3x
4x%5E2-3x%2B5+=+0
Now use the quadratic solver x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
where
a=4
b=-3
c=5
This gives:
x+=+%283+%2B-+sqrt%28+3%5E2-4%2A4%2A5+%29%29%2F%282%2A4%29+
x+=+%283+%2B-+sqrt%28+9-80+%29%29%2F8+
x+=+%283+%2B-+sqrt%28+-71+%29%29%2F8+
x+=+%283+%2B-+sqrt%28+71+%29i%29%2F8+
where "i" denotes the imaginary number i=sqrt%28-1%29
I hope this helps
P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
can someone please help me with i have tried it but i dont seem to be able to come up with an answer. thanks! solve the equation and check your solutions: sqaure root of 4x^2+5 = 3x...SQUARING
4X^2+5=3X*3X=9X^2
9X^2-4X^2=5
5X^2=5
X^2=5/5=1
X=+1...OR...-1

Answer by fractalier(2101) About Me  (Show Source):
You can put this solution on YOUR website!
√(4x^2 + 5) = 3x
we square both sides to begin and get
4x^2 + 5 = 9x^2
5 = 5x^2
x^2 = 1
x = ±1
Now check...
only positive one checks out...