Question

if the roots of quadratic equation ax2+bx+c=0are equal, then the value of c is​

Answer 1

Answer:-

Given:-

• ax²+b+c=0 has equal roots

To find:-

• Value of " c "

Solution:-

Discriminant of ax²+bx+c=0 is

D=√b²+4ac

For equal roots value of D=0

⇒√b²-4ac=0

⇒b²-4ac=0

⇒4ac=b²

c=b²/4a

Therefore, the value of c is " b²/4a"

Answer 2

Answer:

Given:–

• The roots of a quadratic equation ax²+bx+c=0 are equal.

To find:–

• The value of c.

Answer:–

If the roots of quadratic equation are real,

Then the condition is,

determinant,D=0

${b}^{2} - 4ac = 0$

${b}^{2} = 4ac$

$c = \frac{ {b}^{2} }{4a}$