math
posted by Anonymous .
solve 2y=7sqrt(y)3

2y=7sqrt(y)3
2y+3 = √y
square both sides
4y^2 + 12y + 9 = y
4y^2 + 11y + 9 = 0
y = (11 ±√23)/8
I am assuming you are dealing with real numbers only
since y is a complex number, and we cannot take a square root of a complex number, your equation has no real solution. 
Using the substitution y=e^x,solve 2e^x=7√e^x 3

for some reason , I dropped the 7 on the right side
let's start again
square both sides
4y^2 + 12y + 9 = 49y
4y^2  37y + 9 = 0
y = (37 ± √1225)/8
y = 9 or y = 0.25
(it would have factored to (y9)(4y  1)=0 )
now now
e^x = 9
take ln of both sides
ln (e^x) = ln9
x = ln9
or
e^x = .25 or 1/4
take ln again
x = ln (1/4) = ln1  ln4 = ln4
x = ln9 or x = ln4
Respond to this Question
Similar Questions

math,correction
simplify: 7sqrt(7x) + 5 sqrt (7x) My work: (7+5)sqrt (7x) My answer: 12sqrt (7x) is this correct? 
math,correction from previous post
can someone please correct this for me thanks. simplify: 7sqrt(7x) + 5 sqrt (7x) My work: (7+5)sqrt (7x) My answer: 12sqrt (7x) is this correct? 
math
3sqrt(7)3sqrt(64)+7sqrt(112) 
math
Use the formula from Exercise 107( W=91.4(10.5+6.7Sqrt(x)v0.45v)(4575t)/110 ) to determine who will feel colder: a person in Minneapolis at 10°F with a 15mph wind or a person in Chicago at 20°F with a 25mph wind. 
Math
Simplfy 7sqrt(3/6) 
Math
How would you do the inverse of this function: 1/7sqrt(16x^2)? 
Math
3sqrt(23) * 7sqrt(10) * sqrt(45) 
Math
We have an important chemsitry test due and I want to make sure that I do not mess up on my algebra. I am dealing with the integrated rate law, but my question is purely algebraically in nature. I hope, somebody can help me. 1) ln(A) … 
math
Nakim simplified 3 times the square root of 2x plus x times the square root of 8x minus 5 times the square root of 18x and got 10x times the square root of 2x for an answer. Part 1: Using complete sentences, explain what Nakim did … 
math
sqrt(x) * 7sqrt(x)