Question

( 4 a^{2} b^{2} c^{2}-4left(c^{2}-m^{2}right)left(1+a^{2}right) b^{2} )
( 4 a^{2} b^{2} c^{2}-4left(c^{2}+c^{2} a^{2}-m^{2}-m^{2} a^{2}right) b^{2} )
( =0 )
( 4 a^{2} b^{2} c^{2}-4 b^{7} c^{2}-4 b^{2} c^{2} a^{2}+4 b^{2} m^{2}+9 a^{2} )
( 50 Rightarrow c^{2}+m^{2}+a^{2}+m^{2}=0 )
( c^{2}=m^{2}left(1+a^{2}right) )

# (13) If the quadratic equation (1+ d )b? x² + 2abcx + (e? - m )= 0 in x has equal roots, prove that cz = m2 (1+ az ).

Solution