The equation `ax^(4)-2x^(2)-(a-1)=0` will have real and unequal roots if

The smallest integral value of a for which the equation x^(3)-x^(2)+ax-a=0 have exactly one real root,is

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 the roots of the equation x^(2)+2cx+ab=0 are real and unequal,then the roots of the equation x^(2)-2(a+b)x+(a^(2)+b^(2)+2c^(2))=0 are: (a) real and unequal (b) real and equal (c) imaginary (d) rational

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 the roots of the equation,x^(2)+2cx+ab=0 are real and unequal,then the roots of the equation,x^(2)-(a+b)x+(a^(2)+b^(2)+2c^(2))=0 are: a. real and unequal b.real and equal c. imaginary d.Rational

If the roots of the equation qx^(2)+2px+2q=0 are real and unequal, prove that the roots of the equation (p+q)x^(2)+2qx+(p-q)=0 are imaginary.