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 l ,m ,n are real l!=m , then the roots of the equation (l-m)x^2-5(l_+m)x-2(l-m)=0 are a. real and equal b. Complex c. real and unequal d. none of these

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

If a and b are odd integers then the roots of the equation 2ax^(2)+(2a+b)x+b=0(ane0) are

The roots of the equation a(b-2c)x^(2)+b(c-2a)x+c(a-2b)=0 are, when ab+bc+ca=0

If the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal, show that 2//b=1//a+1//c dot

If a

Prove that the roots of the equation (a^4+b^4)x^2+4a b c dx+(c^4+d^4)=0 cannot be different, if real.

Find the real roots of the equation . x^2+5|x|+6=0

The real roots of the quadratic equation x^(2)-x-1=0 are ___.

Product of real roots of the equation x^(2)+|x|+9=0