Question

7. If the equation is

Answer 1

Hi ..mate!!,

Here is your answer!!!...

...we know that if euqations ax²+ bx+c= 0 has real and euqal roots than b²-4ac= 0........
similarly apply this theorem in given equation...
......see picture!!!...



hope you understand!!
Regards Brainly Star Community
#shubhendu

Answer 2

Solution :

Compare given Quadratic equation

( 1+m²)x² + 2mcx + c² - a² = 0 with

Ax² + Bx + C = 0 ,we get

A = 1 + m² ,

B = 2mc ,

C = c² - a² ,

Discreminant = 0

B² - 4AC = 0 [ given equal roots ]

( 2mc )² - 4( 1 + m² )(c² - a² ) = 0

=> 4m²c² -4 (c²-a² +m²c² - m²a²) = 0

=>4[ m²c² - c² + a² - m²c² + m²a²]= 0

=> -c² + a² + m²a² = 0

=> a²( 1 + m² ) = c²

Therefore ,

c² = a²( 1 + m² )

••••