If 2 and 6 are the roots of the equation a x^2+b x+1=0 , then the quadratic equation, whose roots are 1 2 a+b and 1 6 a+b , is :

Step-by-step solution

aligned & Sum =8=- b a & Product =12= 1 a a= 1 12 & b=- 2 3 & 2 a+b= 2 12 - 2 3 =- 1 2 & 6 a+b= 6 12 - 2 3 =- 1 6 & sum =-8 & P=12 & x^2+8 x+12=0 aligned