If one root of `a x^2+b x-2c=0` (a , b , c real) is imaginary and `8a+2b > c,` then

If one root of ax^(2)+bx-2c=0(a,b,c real) is imaginary and 8a+2b>c, then

If the roots of the equation ax^(2)+bx+c=0,a!=0(a,b,c are real numbers),are imaginary and a+c

If the roots of the equation ax^2 + bx + c = 0, a != 0 (a, b, c are real numbers), are imaginary and a + c < b, then

Prove that the roots of (a-b)^(2)x^(2)+2(a+b-2c)x+1=0, a lt b , are real or imaginary according as c does not or does lie between a and b.

If x is real and the roots of the equation a x^2+b x+c=0 are imaginary, then prove tat a^2x^2+a b x+a c is always positive.

If x is real and the roots of the equation a x^2+b x+c=0 are imaginary, then prove tat a^2x^2+a b x+a c is always positive.

If x is real and the roots of the equation a x^2+b x+c=0 are imaginary, then prove tat a^2x^2+a b x+a c is always positive.

If roots of the equation ax^(2)+2(a+b)x+(a+2b+c)=0 are imaginary then roots of the equation ax^(2)+2bx+c=0 are

If the roots of ax^(2)+b(2x+1)=0 are imaginary then roots of bx^(2)+(b-c)x=c+a-b are