can someone use the graph of y=2x³+x²+x+8 to find d roots of y=2x³ +x²-x +5??.
I don't understand how looking at the graph of
y=2x³+x²+x+8 , which does not have a "nice" rational solution, will help you in solving
y = 2x^3 + x^2 - x + 5.
The latter also has an irrational solution.
http://www.wolframalpha.com/input/?i=y%3D2x%C2%B3%2Bx%C2%B2%2Bx%2B8
http://www.wolframalpha.com/input/?i=y%3D2x%C2%B3+%2Bx%C2%B2-x+%2B5
Are we suppose to notice that the two solutions are close ??
Yes, someone can use the graph of the equation y = 2x³ + x² + x + 8 to find the roots of the equation y = 2x³ + x² - x + 5. The process involves comparing the two equations and making adjustments to the graph of the first equation.
To find the roots, follow these steps:
1. Plot the graph of y = 2x³ + x² + x + 8. This graph will give you a general idea of how the function behaves.
2. Now, compare the two equations: y = 2x³ + x² + x + 8 and y = 2x³ + x² - x + 5. Observe that the only difference between the two equations is the sign of the x-term. The first equation has a positive sign (+x) while the second equation has a negative sign (-x).
3. To account for the change in sign, adjust the graph of the first equation. Since the only difference is in the sign of the x-term, the adjustment involves inverting the graph across the x-axis.
4. Once the graph is inverted, examine where the graph intersects the x-axis. These points of intersection will represent the roots of the equation y = 2x³ + x² - x + 5. The x-values where the graph intersects the x-axis will give you the values of the roots.
By following these steps, you can use the graph of y = 2x³ + x² + x + 8 to find the roots of the equation y = 2x³ + x² - x + 5.