`x^2+(a-b)x+(1-a-b)=0, a,b in R` find the condition on `a` for which both roots of the equation are real and unequal

If x^2+(a-b)x=(1-a-b)=0. w h e r ea ,b in R , then find the values of a for which equation has unequal and real roots

If x^(2)+(a-b)x=(1-a-b)=0. where a,b in R then find the values of a for which equation has unequal real roots for all values of b .

If x^2+(a-b)x+(1-a-b)=0. w h e r ea ,b in R , then find the values of a for which equation has unequal real roots for all values of bdot

If a,b, cinR , show that roots of the equation (a-b)x^(2)+(b+c-a)x-c=0 are real and unequal,

If a,b, cinR , show that roots of the equation (a-b)x^(2)+(b+c-a)x-c=0 are real and unequal,

If x^2+(a-b)x+(1-a-b)=0. where a ,b in R , then find the values of a for which equation has unequal real roots for all values of bdot

If x^2+(a-b)x+(1-a-b)=0. where a ,b in R , then find the values of a for which equation has unequal real roots for all values of bdot

If a, b are real then show that the roots of the equation (a-b)x^(2)-6(a+b)x-9(a-b)=0 are real and unequal.

If a and b are real and aneb then show that the roots of the equation (a-b)x^(2)+5(a+b)x-2(a-b)=0 are real and unequal.

If a ,b ,c in R , then find the number of real roots of the equation =|x c-b-c x a b-a x|=0