Question
Use the numerical solver on your graphing calculator to solve the equation for all real solutions. Enter your answer as a list of numbers separated with commas: Example: \( -4,3,2.5 \) \( x^{3}-6.3 x^{2}-3.58 x+26.04=0 \) Solutions \( =\square \)
Ask by Cole Cox.
Nov 22,2024 17:14
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Answer
Solutions = 6.0, -0.5, 0.5
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Beyond the Answer
To tackle the cubic equation \( x^{3}-6.3 x^{2}-3.58 x+26.04=0 \), use your graphing calculator's numerical solver feature to find where the graph intersects the x-axis. By analyzing the behavior of the function, you’ll discover the roots that provide the values of \(x\) where the equation equals zero.
Once you input the equation into your calculator and apply the numerical solver, you should find three real solutions: approximately \( 6.22, -1.65, 1.43 \). Make sure to double-check each solution to confirm they satisfy the original equation!
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