The values of a for which the equation `2x^(2) -2(2a+1) x+a(a+1) = 0` may have one root less them a and other root greater than a are given by

The value of lambda for which the equation 2x^(2)-2(2 lambda+1)x+lambda(lambda+1)=0 may have one root less than lambda and other root greater than lambda are given by

The number of integral value of a,a, in [-5, 5] for which the equation: x ^(2) +2 (a-1) x+a+5=0 has one root smalleer than 1 and the other root greater than 3 is :

The number of integral value of a,a, in [-5, 5] for which the equation: x ^(2) +2 (a-1) x+a+5=0 has one root smalleer than 1 and the other root greater than 3 is :

The number of integral value of a,a, in [-5, 5] for which the equation: x ^(2) +2 (a-1) x+a+5=0 has one root smaller than 1 and the other root is greater than 3 :

If bgta then show that the equation (x-a)(x-b)-1=0 has one root less than a and other root greater than b.

If bgta then show that the equation (x-a)(x-b)-1=0 has one root less than a and other root greater than b.