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

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

Posted by Parampreet Kaur 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Ram Kushwah 6 years, 11 months ago

Here A=(1+a^2)b^2,B=2abc C=c^2-m^2

If roots are equal then

B^2=4AC

4a^2b^2c^2=4(1+a^2)b^2(c^2-m^2)

a2b2c2=(b2+a2b2)(c2-m2)

=b2c2-b2m2+a2b2c2-m2a2b2

Or b2c2=b2m2+m2a2b2

b2C2=b2m2(1+a2)

c2=m2(1+a2) proved

Sorry I am facing problem in writing powers

0Thank You

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