" Re soots of te cquation "x^(2)-3x-m(m+3)

Find the roots of the equation x^(2)-3x-m(m+3) where m is constant.

Prove that (-a,-a/2) is the orthocentre of the triangle formed by the lines y = m_(i) x + a/(m_(i)) , I = 1,2,3, m_(1) m_(2) m_(3) being the roots of the equation x^(3) - 3x^(2) + 2 = 0

Prove that (-a,-a/2) is the orthocentre of the triangle formed by the lines y = m_(i) x + a/(m_(i)) , I = 1,2,3, m_(1) m_(2) m_(3) being the roots of the equation x^(3) - 3x^(2) + 2 = 0

If x=2 and x=3 are roots of the equation 3x^(2)-2kx+2m=0, find the value of k and m.

If x=2 and x=3 are roots of the equation 3x^(2)-mx+2n=0 , then find the values of m and m.

If x=2 and x=3 are roots of the equation 3x^(2)-mx+2n=0 , then find the values of m and m.

The value of m for which the roots of the equation x^(2)+(m-2)x+m+2=0 are in the ratio 2:3 is

If 'm' and 'n' are the roots of the equation x^(2) - 6x +2=0 , find the value of m^(3)n^(2)+n^(3)m^(2) :

The zeroes of the polynomial "x^(2)-3x-m(m+3)" are

The zeroes of the polynomial x^(2)-3x-m(m+3) are: