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How to find roots of cubic equation?
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How to find roots of cubic equation?
If you successfully guess one root of the cubic equation, you can factorize the cubic polynomial using the Factor Theorem and then solve the resulting quadratic equation easily.
3x3−2x2−9x+5=0
On inspection, x=−1 is found to satisfy the equation. Now the cubic polynomial can be factorized.
3x3−2x2−9x−4=0
⟹(x+1)(3x2−5x−4)=0
One root is −1. The rest at the roots of the following quadratic equation.
3x2−5x−4=0
⟹x=−(−5)+-(−5)2−4+-3+-(−4)−−−−−−−−−−−−−−−−−√2x3
⟹x=5+-25+48−−−−−−√6
⟹x=5+-73−−√6
⟹x∈{−1,5−73−−√6,5+73−−√6}
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How to find roots of cubic equation?
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How to find roots of cubic equation? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about How to find roots of cubic equation? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How to find roots of cubic equation?.
How to find roots of cubic equation? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about How to find roots of cubic equation? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How to find roots of cubic equation?.
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