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InterviewSolution
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Obtain a quadratic equation whose roots are -3 and -7. |
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Answer» Correct Answer - The required quadratic equation is `x^(2) + 10x + 21 = 0` Let `alpha = - 3` and `beta = - 7` Then `alpha + beta = - 3-7 = -10` and `alpha beta = ( -3) xx ( -7) = 21 ` The required quadratic equation is `x^(2) - (alpha + beta) x + alpha beta = 0 ` `:. x^(2) - ( -10) x + 21 = 0` `:. x^(2) + 10x + 21 = 0` ....( Substituting the values ) |
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