If the quadratic equation (1+a2)b2x2+2abcx+(c2-m2)=0in x has equal roots , prove that c2=m2(1+a2).

If the quadratic equation (1+a2)b2x2+2abcx+(c2-m2)=0in x has equal roo

1.	If the quadratic equation (1+a2)b2x2+2abcx+(c2-m2)=0in x has equal roots , prove that c2=m2(1+a2).
Answer» Here A=(1+a^2)b^2,B=2abc C=c^2-m^2If roots are equal thenB^2=4AC4a^2b^2c^2=4(1+a^2)b^2(c^2-m^2)a2b2c2=(b2+a2b2)(c2-m2)=b2c2-b2m2+a2b2c2-m2a2b2Or b2c2=b2m2+m2a2b2b2C2=b2m2(1+a2)c2=m2(1+a2) provedSorry I am facing problem in writing powers