Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
The solutions to the given equation are x = -1, x = 0 and x = 3
Graph of Cubic Equation
From the question, we are to determine the solution of the given equation.
The given equation is
x³ -2x² -3x = 0
The graph of the function y = x³ -2x² -3x is shown below
The solutions of the equation x³ -2x² -3x = 0 are the values where the graph cuts the x-axis
From the graph, we can observe that
The curve cuts the x-axis at x = -1, x = 0 and x = 3
Hence, the solutions to the given equation are x = -1, x = 0 and x = 3
Testing the solutions
For x = -1
x³ -2x² -3x = 0
(-1)³ -2(-1)² -3(-1) = 0
-1 -2(1) +3 = 0
-1 -2+3 = 0
-3+3 = 0
0 = 0
For x = 0
x³ -2x² -3x = 0
(0)³ -2(0)² -3(0) = 0
0 - 0 - 0 =0
0 = 0
For x = 3
x³ -2x² -3x = 0
(3)³ -2(3)² -3(3) = 0
27 -2(9) - 9 = 0
27 -18 - 9 = 0
0 = 0
Since, all the statements are true, then values are solutions of the equation.
Learn more on Graph of Cubic equations here: https://brainly.com/question/8878887
#SPj1

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.