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 Squareroot x + 4 - 6x = 4 |4x - 4| + 5 = 14 6 = x + 2/x - 2

Solution

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

sqrt(x+4)=4+6x

taking square on both sides

x+4= (4+6x)^2

x+4= 16 + 36x^2 + 48x

36x^2 + 47x+12=0

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

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

And if we check them,we get that the correct solution is x= (-47+sqrt481)/72

or we can also write it as

x= (sqrt481   - 47)/72