Show that the product of the roots of a quadratic equation `ax^(2)+bx+c=0 (a ne 0)` is `(c )/(a)`.

Show that the sum of roots of a quadratic equation ax^(2)+bx+c=0 (a ne 0) is (-b)/(a) .

Find the roots of the quadratic equation 6x^(2)-x-2=0 .

State the roots of quadratic equation ax^(2)+bx+c=0" if "b^(2)-4ac gt0

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

Find the roots of the equation x+(1)/(x)=3, x ne 0

If alpha, beta are the roots of the quadratic equation x^2 + bx - c = 0 , the equation whose roots are b and c , is

Find the roots of the quadratic equations by factorisation: x-(3)/(x)=2 (x ne 0)

If r be the ratio ofthe roots of the equation ax^2 +bx + c = 0 , show that (r+1)^2/r =(b^2)/(ac)

If x_(1) and x_(2) are the arithmetic and harmonic means of the roots fo the equation ax^(2)+bx+c=0 , the quadratic equation whose roots are x_(1) and x_(2) is

Find the roots of the equation (1)/(x)-(1)/(x-2)=3, x ne 0,2