Determine the value of x that makes the following statements

Determine the value of x that makes the following statements true. If there are multiple solutions, separate your answers with commas. If no real solutions exists, enter \"DNE\". 4x + 17 = -20 x = squareroot x + 4 - 6x = 4 x = |4x - 4| + 5 = 14 x = 6 = x + 2/x - 2 x =

Solution

b. sqrt(x+4) -6x=4

sqrt(x+4)= 4+6x

squaring both sides

x+4=(4+6x)²

x+4=16 + 36x²+ 48x

36x²+47x+12=0

We cant solve it by factoring,so we have to use quadratic formula here

x=(-47+-sqrt(481))/72

And if we check by plugging these values of x,we find that the solution is

x= (-47+sqrt481)/72