+0  
 
0
37
3
avatar

Find the solutions to \(\sqrt{4x - 3} + \dfrac{10}{\sqrt{4x - 3}} = 7\)

 May 7, 2020
 #2
avatar+30044 
+3

As follows:

 

 May 7, 2020
 #3
avatar+23575 
+1

Multiply both sides of equation by sqrt (4x-3) to get

 

4x + 7 = 7 sqrt(4x-3)      square both sides

16x^2 + 56x + 49 = 196x-147   simplify

16x^2 -140x + 196=0     Simplify a bit by dividing by 4

4x^2 - 35x + 49=0

  Use quadratic formula to find x = 7/4   and  7

 May 7, 2020

14 Online Users

avatar
avatar