How do you solve $1-sqrt( 7-x)= x$ ?

Question

1703 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-16T10:53:20

$x= -2" or "x=+3$

It is matter of reversing the actions given and doing so in the correct order.

Write as: $" "1-x=sqrt(7-x)$

Square both sides

$(1-x)^2=7-x$

$x^2-2x+1=7-x$

$x^2-x-6=0$

$(x+2)(x-3)=0$

$x= -2" or "x=+3$

How do you solve 1-sqrt( 7-x)= x1-sqrt( 7-x)= x?