1)For what value of a,quadratic equation x^2(a^2-5a+6)+x(a^2-3a+2)+a^2-4 =0 will have more than two roots.
2)if the equation x^2(a^2+a-2)+x(a^2+m-3)+(a^2-1)=0 is satisfied by more than two values of x. find the values of a and m.
MENTION ALL THE STEPS .
Normally, a quadatic (the coefficient of not equal to 0) will have two roots and a linear equation (the coefficient of equal to 0 but the coefficient of x not equal to 0) will have 1. This will have an infinite number of solutions only if , and . What is a common factor of all of those?
Same thing: for what values of m do , , and have a common factor and what is that common factor?2)if the equation x^2(a^2+a-2)+x(a^2+m-3)+(a^2-1)=0 is satisfied by more than two values of x. find the values of a and m.
Since this is your exercise, why don't you at least try before asking someone to do it for you?MENTION ALL THE STEPS .