Show that the roots of the quadratic equation `x^2-2(a+b)x + 2(a^2 + b^2) = 0` can not be real.

What are the roots of the quadratic equations a^2b^2x^2-(a^2+b^2) x+1=0

Show that the roots of the quadratic equation: (b - c)x^(2) + (c - a) x + (a - b) = 0 are equal if c + a = 2b.

The roots of the quadratic equation (a + b-2c)x^2- (2a-b-c) x + (a-2b + c) = 0 are

The roots of the quadratic equation (a + b-2c)x^2+ (2a-b-c) x + (a-2b + c) = 0 are

The roots of the quadratic equation (a + b-2c)x^2+ (2a-b-c) x + (a-2b + c) = 0 are

The roots of the quadratic equation (a + b-2c)x^2+ (2a-b-c) x + (a-2b + c) = 0 are

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

If the roots of a quadratic equation x^(2)+2px+mn=0 are real and equal, show that the roots of the quadratic equation x^(2)-2(m+n)x+(m^(2)+n^(2)+2p^(2))=0 are also equal.

The roots of the quadratic equation (a+b-2c)x^(2)+(2a-b-c)x+(a-2b+c)=0 are

If the roots of the quadratic equation x^(2) +2x+k =0 are real, then