+0

# help

0
37
3

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

May 7, 2020

#2
+30044
+3

As follows:

May 7, 2020
#3
+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