Homework Help: radical equation

Posted by jessica on Thursday, June 29, 2006 at 1:39am.

2^x+20=15+3^x

A)1
B)16
C)-5
D)25

I chose c but i got it wrong i am having a problem understanding it.

Let me rewrite the question in a more standard format.

2* sqrt(x)+20=15 + 3*sqrt(x)

where * means multiply, and sqrt means the square root. Your use of ^ for square root is unusual, normally, we use the carat sign, ^, as an exponent..for instance, 2 cubed will be 2^3.

Ok, your problem.
2* sqrt(x)+20=15 + 3*sqrt(x)
gather your terms..
2* sqrt(x)- 3*sqrt(x) =15 - 20
- sqrt(x)=-5
square both sides...
x=25

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