Question

if ax^2+bx+c=0 has equal roots then find the value of c.

Answer 1

Answer:b^2/4a

Step-by-step explanation:

X=-b+-rootD/2a

D=b^2-4ac

Both roots are equal

-b+rootD/2a=-b-rootD/2a

RootD=-rootD

2RootD=0

RootD=0

b^2-4ac=0

b^2=4ac

C=b^2÷4a

Answer 2

Answer:

Given :-

$. ax² + bx + c = 0

$. It has equal roots .

Required to prove :-

The value of C .

Proof :-

equation = ax² + bx + c = 0

It has equal roots .

So ,

D = 0

b² - 4ac = 0

b² = 4ac

=> 4 a c = b²

=> c = b² / 4a

So , value of c is :-

b² / 4a.

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