Question

Find all values of 'm' such that the roots of the equation 2x^(2)-x-1=0 lie inside the roots of the equation x^(2)+(2m-m^(2))x-2m^(3)=0​

Answer 1

first the roots of 1sr equation is -1/2 1.

.

given the roots of 2nd equation lies on roots of 1st equation

keeping values between-1/2, 1 we get values of m