Form the quadratic equation whose roots are 7+√3 and 7−√3.
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Solution
The roots are 7+√3,7−√3 Sum of the roots =7+√3+7−√3=14 Product of roots =(7+√3)(7−√3)=49−3=46 The required equation is x2− (Sum of the roots) x+ Product of roots =0 x2−14x+46=0