[" Thow that the "],[" roots of "(x-a)(x-b)=h^(2)],[" are alloags red? "]

Prove that the roots of (x-a)(x-b)=h^(2) are always real.

The roots of (x - a) (x - b) = b^(2) are…

The roots of (x - a) (x - b) = b^(2) are…

Show that the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal if a,b,c are in H.P.

If a,b are the roots of x^(3)-5x^(2)-x+5=0 b is a root of

If roots of equation x^2-2c x+a b=0 are real and unequal, then prove that the roots of x^2-2(a+b)x+a^2+b^2+2c^2=0 will be imaginary.

If roots of equation x^2+2c x+a b=0 are real and unequal, then prove that the roots of x^2-2(a+b)x+a^2+b^2+2c^2=0 will be imaginary.

If roots of equation x^2-2c x+a b=0 are real and unequal, then prove that the roots of x^2-2(a+b)x+a^2+b^2+2c^2=0 will be imaginary.

If roots of equation x^3-2c x+a b=0 are real and unequal, then prove that the roots of x^2-2(a+b)x+a^2+b^2+2c^2=0 will be imaginary.

If a, b are the roots of x^(2) +x+1=0 then a^2 +b^2=