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

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Answer 1 · 2018-03-30T11:46:14

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$sqrt(4x+1)-6=4$ 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

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