SOLUTION: how would you solve for x. {{{sqrt(4x-3) = sqrt( x-1) }}} ??

Question 182381This question is from textbook
: how would you solve for x. ?? This question is from textbook

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Square both sides:

However, when you check the answer you get:

which is certainly true enough and indicates that the answer is valid, but only to the extent that there are no restrictions on the value of the variable in your original equation such that the equation must always be defined in the real numbers. Your original equation is undefined in the reals for any value of

because the radicand on the right would then be < 0.

Consequently, your solution set either contains the single value

if there are no restrictions on the value of x or is the empty set if x is restricted.

John

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