Solve this : 23 If the equation (1+m2)x2+(2mc)x+(c2+a2)=0 has equal roots, then prove that c2=a2(1+m2) - Maths - Quadratic Equations

Question

Solve this :

23   If   the   equation   ( 1 + m 2 ) x 2 + (
2 mc ) x + ( c 2 + a 2 ) = 0   has   equal   roots ,
  then   prove   that   c 2 = a 2 ( 1 + m 2 )
                 
                 
                 
                 
                 
                 
                  OR
Find   the   roots   of   the   equation
  a 2 x 2 - 3 abx + 2 b 2 = 0   by   the  
method   of   completing   the   square

Neha Sethi · Accepted Answer

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Solve this : 23 . If the equation ( 1 + m 2 ) x 2 + ( 2 mc ) x + ( c 2 + a 2 ) = 0 has equal roots , then prove that c 2 = a 2 ( 1 + m 2 ) . OR Find the roots of the equation a 2 x 2 - 3 abx + 2 b 2 = 0 by the method of completing the square .

Solve this :

$23 . If the equation (1 + m^{2}) x^{2} + (2 mc) x + (c^{2} + a^{2}) = 0 has equal roots, then prove that c^{2} = a^{2} (1 + m^{2}) . OR Find the roots of the equation a^{2} x^{2} - 3 abx + 2 b^{2} = 0 by the method of completing the square .$