How do you simplify # sqrt(4x + 1)- 6 = 4#?

Question

1804 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-30T11:46:14

See below

#sqrt(4x+1)-6=4# is a equation not for simplify but for resolve

First: transpose terms in order to isolate de square root

#sqrt(4x+1)=4-6=-2#

Second: Power two in both sides

#sqrt(4x+1)^2=(-2)^2#

#4x+1=4#

#4x=3#

#x=3/4#

Third: check if solution is valid

#sqrt(cancel4·3/cancel4+1)-6=2-6=-4!=4#

The equation has no solution