.50 - x / x = 3.20e-1
I need to solve for x. I was going to do .50 X 3.20e-1 and then take the square root but this is not correct. I am not sure what to do. Thank you for your help.
Math(Please help) - Reiny, Tuesday, April 17, 2012 at 3:18pm
You probably meant
(.50 - x)/x = 3.2 e^-1= 3.2/e
crossmultiply ...
.50 - x = (3.2/e)x
(3.2/e)x + x = .5
x(3.2/e + 1)
x = .5/(3.2/e + 1)
multiply by e/e
= .5e/(3.2 + e)
multiply by 10/10
= 5e/(32 + 10e)
So I have to multiply 5e by 10 which would be 50e and then multiply (32+10e) by 10?
Hannah: Professor Reiny solved it for you.
x= 10e/(32+10e)
calculate that. Or if you cant, put this in your google search window
10*e/(32+10*e) =
No, you don't need to multiply 5e by 10 and (32 + 10e) by 10.
The step you are referring to is multiplying both the numerator and denominator of the fraction by e to get rid of the division by e.
Starting from the expression: x = 5e/(32 + 10e)
To get rid of the denominator, you multiply both the numerator and denominator by e, which gives:
x = (5e * e) / ((32 + 10e) * e)
This simplifies to:
x = 5e^2 / (32e + 10e^2)
This is the final expression for x.