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| Formation of quadratic equations from given roots and conditions |
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| i) The quadratic equations whose roots are a and b is |
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| where S = sum of roots and P = product of roots |
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| ii) Quadratic equations with real coefficients, the complex roots always occur in conjugate pairs . |
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| i.e., a + ib and a - ib |
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| iii) Quadratic equations with rational coefficients the irrational roots always occur in conjugate pairs. |
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| Examples: |
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| Form the quadratic equation whose roots are given below |
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| Suggested answer: |
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| The quadratic equation is |
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| Suggested answer: |
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| The quadratic equation is |
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