Already have an account? Log in here.
Arm yourself with the tools to be the king or queen of heady mathematical debates, like the age old question of whether 0.999.... = 1.
What are the solution(s) to the equation
\[\sqrt{x+ 4} = x -2?\]
(Partial solution:) \[\sqrt{x+ 4} = x -2\] \[x+ 4 = (x -2)^2\] \[x+ 4 = x^2 - 4x + 4\] \[0 = x^2 - 5x\] \[0 = x(x - 5)\]
Already have an account? Log in here.
Where is the error in the solution to this problem?
Find the solution set of \(20 - x > 5\).
Line 1. \(\,\,\,\,\,20 - x > 5\)
Line 2. \(\,\,\,\,\,-x > -15\)
Line 3. \(\,\,\,\,\,x >15\)
Already have an account? Log in here.
Where is the error in the solution to this problem?
Find the solution set of \(3 - x < 8\).
Step 1. \(\,\,\,\,\,3 - x < 8\)
Step 2. \(\,\,\,\,\,-x < 5\)
Step 3. \(\,\,\,\,\,x < -5\)
Already have an account? Log in here.
Is the following solution valid?
\(\,\,\,\,\,\sqrt{x - 5} = -3\)
\(\,\,\,\,\,x - 5 = 9\)
\(\,\,\,\,\,x = 14\)
Already have an account? Log in here.
Consider the following work done to solve the equation \[\sqrt{x + 1} = 1.\]
\(\,\,\,\,\,\sqrt{x} + \sqrt{1} = 1\)
\(\,\,\,\,\,\sqrt{x} + 1 = 1\)
\(\,\,\,\,\,\sqrt{x} = 0\)
\(\,\,\,\,\,x = 0\)
Already have an account? Log in here.
Problem Loading...
Note Loading...
Set Loading...