Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation
A quadratic equation with integral coefficients has two prime numbers as its roots. If the sum of the coefficients of the equation is prime, then the sum of the roots is ______ .
Correct answer
5
Step-by-step solution
Let the equation be K(x- )(x- )=0 Sum of coefficient = K ( -1)( -1) is prime K is 1 and -1 is 1 One root is 2 and -1 is 2 Hence roots are 2 and 3.