No, it isn't true if x is less than 0Originally Posted by bobby77
1>Is sqrt(x^2)=x an identity (true for all values of x)?
2> For the equation x-sqrt(x)=0 , perform the following:
a) Solve for all values of x that satisfies the equation.
b) Graph the functions and on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
c) How does the graph relate to part a?
the square root is per definition a positive number or zero. x can be a negative number. So the answer is NO.Originally Posted by bobby77
factorize the lhs of this equation:Originally Posted by bobby77
Thus: . Therefore x = 0 or x = 1.
I am not certain what you mean by functions (plr!). So I made a diagram of g(x)=x and w(x)=sqrt(x). the x-values of the intercepts are the solutions of the equation.Originally Posted by bobby77