1. If sum of the roots of a quadratic equation is 7 and product of the roots is 12. Find the quadratic equation.
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By: anil on 05 May 2019 02.10 am
A quadratic equation is of the form : $$x^2 - $$(sum of roots) $$x + $$(product of roots) $$= 0$$ Let the roots of equation are $$alpha$$ and $$eta$$ => Sum of roots = $$alpha + eta = 7$$ Product of roots = $$alpha eta = 12$$ Equation : $$x^2 - (alpha + eta) x + alpha eta = 0$$ => $$x^2 - 7x + 12 = 0$$ => Ans - (A)
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