√3x-2+√2x+5+1=0 Could this square root problem be solved by using a graphing TI-84 Plus calculator? If so, will you please tell me how to do it.
Thanks
I will assume you mean
√(3x-2) + √(2x+5) + 1 = 0
by definition, √(anything) is the POSITIVE square root of anything, so the left side of your equation is the sum of three positive numbers, which of course can never be zero.
your equation has no solution.
why don't you graph
y = √(3x-2) + √(2x+5) + 1
and you will see that the entire graph lies above the x-axis.
Here is what Wolfram says:
http://www.wolframalpha.com/input/?i=√%283x-2%29+%2B+√%282x%2B5%29+%2B+1+
the "real number" graph is in blue, lies above the x-axis
Reiny, no, actually, the square root of anything is not always the positive. because if you multiply two negative numbers, you get a positive number. So, when you square root anything, you assume it is either the positive or negative of a number, because it can be either.
Unfortunately, I do not have a TI-84, so I can only say to graph both the positive and the negative forms on you graph and see where they intersect.
Or you can solve the problem the old fashion way (which is rather easy...)
....ok, maybe it's not easy... >.<
Yes, this square root problem could be solved using a graphing calculator like the TI-84 Plus. Here's how you can solve it:
Step 1: Enter the equation into the calculator:
Press the "Y=" button on the calculator. Enter the equation √3x - 2 + √2x + 5 + 1 = 0 into the equation editor.
Step 2: Set up the window settings:
Press the "WINDOW" button on the calculator. Adjust the values for the Xmin, Xmax, Ymin, and Ymax to set the appropriate range for the graph. Make sure the window settings include the x-values where the root(s) may exist.
Step 3: Graph the equation:
Press the "GRAPH" button on the calculator to plot the graph of the equation.
Step 4: Analyze the graph:
Look for the point(s) on the graph where the graph intersects the x-axis. These points correspond to the values of x where the equation is equal to zero, i.e., the solutions to the equation.
Step 5: Find the x-intercepts:
To find each x-intercept, use the "2nd" (or "ALPHA") and "CALC" (or "TRACE") buttons on the calculator. Press "2nd", then "CALC", and select "Intersect" from the menu. Use the cursor to move closer to each x-intercept and press "ENTER" when you're near it. Repeat this process for each x-intercept until the intersection point is displayed on the calculator screen.
Step 6: Record the solutions:
Once the x-intercepts are found, their x-values represent the solutions to the given equation.
Note that due to rounding and the limitations of graphing calculators, the solutions may not be exact. You may find approximate decimal values for the solutions.
Remember to double-check your solutions by substituting them back into the original equation to ensure they are true solutions.
Hope this helps! Let me know if you have any further questions.